Number - Long Division
Question 1
Use long division to answer these questions
a) $356\div2$
a
$178$
Question ID: 10100010010
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$\begin{align}178\\2\overline{)356}\\-\underline{2}\,\,\,\,\,\,\\15\,\,\,\,\\-\underline{14}\,\,\,\,\\16\,\\\underline{16}\,\\0\,\end{align}$
Question ID: 10100010010
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b) $7832\div2$
a
$3916$
Question ID: 10100010020
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$\begin{align}3916\\2\overline{)7832}\\-\underline{6}\,\,\,\,\,\,\,\,\\18\,\,\,\,\,\,\\-\underline{18}\,\,\,\,\,\,\\03\,\,\,\\-\underline{2}\,\,\\12\\-\underline{12}\\0\end{align}$
Question ID: 10100010020
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c) $620\div4$
a
$155$
Question ID: 10100010030
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$\begin{align}155\\4\overline{)620}\\-\underline{4}\,\,\,\,\,\,\\22\,\,\,\\-\underline{20}\,\,\,\\20\\-\underline{20}\\0\end{align}$
Question ID: 10100010030
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d) $145\div5$
a
$29$
Question ID: 10100010040
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$\begin{align}29\\5\overline{)145}\\-\underline{10}\,\,\,\\45\\-\underline{45}\\0\end{align}$
Question ID: 10100010040
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e) $182\div7$
a
$26$
Question ID: 10100010050
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$\begin{align}26\\7\overline{)182}\\-\underline{14}\,\,\,\\42\\-\underline{42}\\0\end{align}$
Question ID: 10100010050
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f) $201\div3$
a
$67$
Question ID: 10100010060
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g) $4275\div9$
a
$475$
Question ID: 10100010070
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Question ID: 10100010070
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h) $1474\div11$
a
$134$
Question ID: 10100010080
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Question ID: 10100010080
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Question 2
Use long division to answer these questions. Any remainders should be in the form $6r3$.
a) $271\div6$
a
$45r1$
Question ID: 10100020010
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$\begin{align}45&r1\\6\overline{)271}\\-\underline{24}\,\,\,\\31\\-\underline{30}\\1\end{align}$
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b) $1872\div5$
a
$374r2$
Question ID: 10100020020
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$\begin{align}374&r2\\5\overline{)1872}\\-\underline{15}\,\,\,\,\,\,\\37\,\,\,\\-\underline{35}\,\,\,\\22\\-\underline{20}\\2\end{align}$
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c) $2981\div7$
a
$425r6$
Question ID: 10100020030
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$\begin{align}425&r6\\7\overline{)2981}\\-\underline{28}\,\,\,\,\,\,\\18\,\,\,\\-\underline{14}\,\,\,\\41\\-\underline{35}\\6\end{align}$
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d) $5424\div8$
a
$678$
Question ID: 10100020040
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e) $41\,207\div9$
a
$4578r5$
Question ID: 10100020050
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f) $3754\div10$
a
$375r2$
Question ID: 10100020060
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g) $2808\div12$
a
$234$
Question ID: 10100020070
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h) $12\,782\div11$
a
$1162$
Question ID: 10100020080
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Question 3
Use long division to answer these questions. Any remainders should be written in a fraction, e.g. $2\frac13$.
a) $1495\div4$
a
$373\frac34$
Question ID: 10100030010
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$\begin{align}373&\tfrac34\\4\overline{)1495}\\-\underline{12}\,\,\,\,\,\,\\29\,\,\,\\-\underline{28}\,\,\,\\15\\-\underline{12}\\3\end{align}$
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b) $4069\div6$
a
$678\frac16$
Question ID: 10100030020
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$\begin{align}678&\tfrac16\\6\overline{)4069}\\-\underline{36}\,\,\,\,\,\,\\46\,\,\,\\-\underline{42}\,\,\,\\49\\-\underline{48}\\1\end{align}$
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c) $2779\div8$
a
$347\frac38$
Question ID: 10100030030
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d) $3008\div3$
a
$1002\frac23$
Question ID: 10100030040
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$\begin{align}1002&\tfrac23\\3\overline{)3008}\\-\underline{3}\,\,\,\,\,\,\,\,\\00\,\,\,\,\,\,\\-\underline{00}\,\,\,\,\,\,\\00\,\,\,\\-\underline{00}\,\,\,\\08\\-\underline{6}\\2\end{align}$
Question ID: 10100030040
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e) $6746\div5$
a
$1349\frac15$
Question ID: 10100030050
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f) $4080\div8$
a
$510$
Question ID: 10100030060
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g) $9874\div7$
a
$1410\frac47$
Question ID: 10100030070
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h) $45\,076\div9$
a
$5008\frac49$
Question ID: 10100030080
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$\begin{align}5008&\tfrac49\\9\overline{)45076}\\-\underline{45}\,\,\,\,\,\,\,\,\,\\00\,\,\,\,\,\,\\-\underline{00}\,\,\,\,\,\,\\07\,\,\,\\-\underline{00}\,\,\,\\76\\-\underline{72}\\4\end{align}$
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Question 4
Use long division to answer the following. You may want to 'cancel' down the division first. Leave an remainders in the form $5r2$
a) $5026\div14$
a
$316$
Question ID: 10100040010
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Both $4424$ and $14$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$4424\div14=2212\div7$
Then we can perform the long division
$\begin{align}316\\7\overline{)2212}\\-\underline{21}\,\,\,\,\,\,\\11\,\,\,\\-\underline{7}\,\,\\42\\-\underline{42}\\0\end{align}$
Question ID: 10100040010
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b) $8752\div16$
a
$547$
Question ID: 10100040020
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Both $8752$ and $16$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$8752\div16=4376\div8$
Then we can perform the long division
$\begin{align}547\\8\overline{)4376}\\-\underline{40}\,\,\,\,\,\,\\37\,\,\,\\-\underline{32}\,\,\,\\56\\-\underline{56}\\0\end{align}$
Question ID: 10100040020
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c) $3748\div18$
a
$208r2$
Question ID: 10100040030
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Both $3748$ and $18$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$3748\div18=1874\div9$
Then we can perform the long division
$\begin{align}208&r2\\9\overline{)1874}\\-\underline{18}\,\,\,\,\,\,\\07\,\,\,\\-\underline{00}\,\,\,\\74\\-\underline{72}\\2\end{align}$
Question ID: 10100040030
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d) $4896\div24$
a
$204$
Question ID: 10100040040
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Both $4896$ and $24$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$4969\div24=2448\div12$
Both $2448$ and $12$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$2448\div12=1224\div6$
Both $1224$ and $6$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$1224\div6=612\div3$
Then we can perform the long division
$\begin{align}204\\3\overline{)612}\\-\underline{6}\,\,\,\,\,\,\\01\,\,\,\,\\-\underline{00}\,\,\,\,\\12\,\\-\underline{12}\,\\0\end{align}$
Question ID: 10100040040
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e) $2940\div15$
a
$196$
Question ID: 10100040050
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Both $2940$ and $15$ are divisible by $5$, so the first step is to divide both of the numbers by $2$
$2940\div15=588\div3$
Then we can perform the long division
$\begin{align}196\\3\overline{)588}\\-\underline{3}\,\,\,\,\,\,\\28\,\,\,\,\\-\underline{27}\,\,\,\,\\18\\-\underline{18}\\0\end{align}$
Question ID: 10100040050
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f) $74\,140\div110$
a
$674$
Question ID: 10100040060
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g) $8745\div55$
a
$159$
Question ID: 10100040070
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h) $8370\div45$
a
$70$
Question ID: 10100040080
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Question 5
Use long division to answer the following. It is a good idea to write out the 'times tables' for the divisor to help.
a) $8814\div13$
a
$678$
Question ID: 10100050010
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$8814\div13$
You may not necessarily know the $13$ 'times table' so it is a good idea to write this out first:
$13\times1=13$
$13\times2=26$
$13\times3=39$
$13\times4=52$
$13\times5=65$
$13\times6=78$
$13\times7=91$
$13\times8=104$
$13\times9=117$
$13\times10=130$
Then we can perform the long division
$\begin{align}678\\13\overline{)8814}\\-\underline{78}\,\,\,\,\,\,\\101\,\,\,\\-\underline{91}\,\,\,\\104\\-\underline{104}\\0\end{align}$
Question ID: 10100050010
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b) $14\,688\div17$
a
$864$
Question ID: 10100050020
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$14688\div17$
You may not necessarily know the $17$ 'times table' so it is a good idea to write this out first:
$17\times1=17$
$17\times2=34$
$17\times3=51$
$17\times4=68$
$17\times5=85$
$17\times6=102$
$17\times7=119$
$17\times8=136$
$17\times9=153$
$17\times10=170$
Then we can perform the long division
$\begin{align}864\\17\overline{)14688}\\-\underline{136}\,\,\,\,\,\,\\108\,\,\,\\-\underline{102}\,\,\,\\68\\-\underline{68}\\0\end{align}$
Question ID: 10100050020
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c) $10\,203\div19$
a
$537$
Question ID: 10100050030
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$10203\div19$
You may not necessarily know the $19$ 'times table' so it is a good idea to write this out first:
$19\times1=19$
$19\times2=38$
$19\times3=57$
$19\times4=76$
$19\times5=95$
$19\times6=114$
$19\times7=133$
$19\times8=152$
$19\times9=171$
$19\times10=190$
Then we can perform the long division
$\begin{align}537\\19\overline{)10203}\\-\underline{95}\,\,\,\,\,\,\\70\,\,\,\\-\underline{57}\,\,\,\\133\\-\underline{133}\\0\end{align}$
Question ID: 10100050030
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d) $10\,062\div13$
a
$774$
Question ID: 10100050040
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e) $5678\div17$
a
$5678$
Question ID: 10100050050
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f) $13\,319\div19$
a
$701$
Question ID: 10100050060
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g) $22\,563\div23$
a
$981$
Question ID: 10100050070
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$22563\div23$
You may not necessarily know the $23$ 'times table' so it is a good idea to write this out first:
$23\times1=23$
$23\times2=46$
$23\times3=69$
$23\times4=92$
$23\times5=115$
$23\times6=138$
$23\times7=161$
$23\times8=184$
$23\times9=207$
$23\times10=230$
Then we can perform the long division
$\begin{align}981\\23\overline{)22563}\\-\underline{207}\,\,\,\,\,\,\\186\,\,\,\\-\underline{184}\,\,\,\\23\\-\underline{23}\\0\end{align}$
Question ID: 10100050070
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h) $212\,889\div29$
a
$7341$
Question ID: 10100050080
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Question 6
Use long division to answer the following. It is a good idea to write out the 'times tables' for the divisor to help. Any remainders leave in the form $55\frac27$
a) $5999\div16$
a
$374\frac{15}{16}$
Question ID: 10100060010
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$5999\div16$
You may not necessarily know the $16$ 'times table' so it is a good idea to write this out first:
$16\times1=16$
$16\times2=32$
$16\times3=48$
$16\times4=64$
$16\times5=80$
$16\times6=96$
$16\times7=112$
$16\times8=128$
$16\times9=144$
$16\times10=160$
Then we can perform the long division
$\begin{align}374&\tfrac{15}{16}\\16\overline{)5999}\\-\underline{48}\,\,\,\,\,\,\\119\,\,\,\\-\underline{112}\,\,\,\\79\\-\underline{64}\\15\end{align}$
Question ID: 10100060010
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b) $37\,433\div15$
a
$2495\frac{8}{15}$
Question ID: 10100060020
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c) $12\,789\div19$
a
$673\frac{2}{19}$
Question ID: 10100060030
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d) $11\,407\div21$
a
$543\frac{4}{21}$
Question ID: 10100060040
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$11407\div21$
You may not necessarily know the $21$ 'times table' so it is a good idea to write this out first:
$21\times1=21$
$21\times2=42$
$21\times3=63$
$21\times4=84$
$21\times5=105$
$21\times6=126$
$21\times7=147$
$21\times8=168$
$21\times9=189$
$21\times10=210$
Then we can perform the long division
$\begin{align}543&\tfrac{4}{21}\\21\overline{)11407}\\-\underline{105}\,\,\,\,\,\,\\90\,\,\,\\-\underline{84}\,\,\,\\67\\-\underline{63}\\4\end{align}$
Question ID: 10100060040
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e) $26\,917\div32$
a
$841\frac{5}{32}$
Question ID: 10100060050
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f) $215\,273\div22$
a
$9785\frac{3}{22}$
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g) $1\,139\,342\div13$
a
$87641\frac{9}{13}$
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h) $183\,182\div27$
a
$6784\frac{14}{27}$
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Question 7
Use long division to answer these questions. Any remainders should be in the form $6r3$. Think about any short cuts you may be able to take.
a) $6606\div18$
a
$367$
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Both $6606$ and $18$ are divisible by $6$, so the first step is to divide both of the numbers by $6$
$6606\div18=1101\div3$
Then we can perform the long division
$\begin{align}367\\3\overline{)1101}\\-\underline{9}\,\,\,\,\,\,\\20\,\,\,\\-\underline{18}\,\,\\21\\-\underline{21}\\0\end{align}$
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b) $7284\div17$
a
$428r8$
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c) $16\,006\div19$
a
$842r8$
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d) $990\div22$
a
$45$
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e) $21\,936\div48$
a
$457$
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Both $21\,936$ and $48$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$21\,936\div48=10968\div24$
Both $10\,968$ and $24$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$10\,968\div24=5484\div12$
Then we can perform the long division
$\begin{align}457\\12\overline{)5484}\\-\underline{48}\,\,\,\,\,\,\\68\,\,\,\,\\-\underline{60}\,\,\,\,\\84\,\\-\underline{84}\\0\end{align}$
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f) $61\,194\div78$
a
$823$
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g) $32\,913\div53$
a
$621$
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h) $44\,230\div93$
a
$475r55$
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i) $19\,032\div244$
a
$78$
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j) $43\,589\div479$
a
$91$
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k) $93\,832\div124$
a
$756r88$
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l) $2\,924\,778\div786$
a
$3721r72$
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Question 1
Use long division to answer these questions
a) $356\div2$
b) $7832\div2$
c) $620\div4$
d) $145\div5$
e) $182\div7$
f) $201\div3$
g) $4275\div9$
h) $1474\div11$
Question 2
Use long division to answer these questions. Any remainders should be in the form $6r3$.
a) $271\div6$
b) $1872\div5$
c) $2981\div7$
d) $5424\div8$
e) $41\,207\div9$
f) $3754\div10$
g) $2808\div12$
h) $12\,782\div11$
Question 3
Use long division to answer these questions. Any remainders should be written in a fraction, e.g. $2\frac13$.
a) $1495\div4$
b) $4069\div6$
c) $2779\div8$
d) $3008\div3$
e) $6746\div5$
f) $4080\div8$
g) $9874\div7$
h) $45\,076\div9$
Question 4
Use long division to answer the following. You may want to 'cancel' down the division first. Leave an remainders in the form $5r2$
a) $5026\div14$
b) $8752\div16$
c) $3748\div18$
d) $4896\div24$
e) $2940\div15$
f) $74\,140\div110$
g) $8745\div55$
h) $8370\div45$
Question 5
Use long division to answer the following. It is a good idea to write out the 'times tables' for the divisor to help.
a) $8814\div13$
b) $14\,688\div17$
c) $10\,203\div19$
d) $10\,062\div13$
e) $5678\div17$
f) $13\,319\div19$
g) $22\,563\div23$
h) $212\,889\div29$
Question 6
Use long division to answer the following. It is a good idea to write out the 'times tables' for the divisor to help. Any remainders leave in the form $55\frac27$
a) $5999\div16$
b) $37\,433\div15$
c) $12\,789\div19$
d) $11\,407\div21$
e) $26\,917\div32$
f) $215\,273\div22$
g) $1\,139\,342\div13$
h) $183\,182\div27$
Question 7
Use long division to answer these questions. Any remainders should be in the form $6r3$. Think about any short cuts you may be able to take.
a) $6606\div18$
b) $7284\div17$
c) $16\,006\div19$
d) $990\div22$
e) $21\,936\div48$
f) $61\,194\div78$
g) $32\,913\div53$
h) $44\,230\div93$
i) $19\,032\div244$
j) $43\,589\div479$
k) $93\,832\div124$
l) $2\,924\,778\div786$
Answers
Question 1
a) $178$
b) $3916$
c) $155$
d) $29$
e) $26$
f) $67$
g) $475$
h) $134$
Question 2
a) $45r1$
b) $374r2$
c) $425r6$
d) $678$
e) $4578r5$
f) $375r2$
g) $234$
h) $1162$
Question 3
a) $373\frac34$
b) $678\frac16$
c) $347\frac38$
d) $1002\frac23$
e) $1349\frac15$
f) $510$
g) $1410\frac47$
h) $5008\frac49$
Question 4
a) $316$
b) $547$
c) $208r2$
d) $204$
e) $196$
f) $674$
g) $159$
h) $70$
Question 5
a) $678$
b) $864$
c) $537$
d) $774$
e) $5678$
f) $701$
g) $981$
h) $7341$
Question 6
a) $374\frac{15}{16}$
b) $2495\frac{8}{15}$
c) $673\frac{2}{19}$
d) $543\frac{4}{21}$
e) $841\frac{5}{32}$
f) $9785\frac{3}{22}$
g) $87641\frac{9}{13}$
h) $6784\frac{14}{27}$
Question 7
a) $367$
b) $428r8$
c) $842r8$
d) $45$
e) $457$
f) $823$
g) $621$
h) $475r55$
i) $78$
j) $91$
k) $756r88$
l) $3721r72$
Question 1
Use long division to answer these questions
a) $356\div2$
b) $7832\div2$
c) $620\div4$
d) $145\div5$
e) $182\div7$
f) $201\div3$
g) $4275\div9$
h) $1474\div11$
Question 2
Use long division to answer these questions. Any remainders should be in the form $6r3$.
a) $271\div6$
b) $1872\div5$
c) $2981\div7$
d) $5424\div8$
e) $41\,207\div9$
f) $3754\div10$
g) $2808\div12$
h) $12\,782\div11$
Question 3
Use long division to answer these questions. Any remainders should be written in a fraction, e.g. $2\frac13$.
a) $1495\div4$
b) $4069\div6$
c) $2779\div8$
d) $3008\div3$
e) $6746\div5$
f) $4080\div8$
g) $9874\div7$
h) $45\,076\div9$
Question 4
Use long division to answer the following. You may want to 'cancel' down the division first. Leave an remainders in the form $5r2$
a) $5026\div14$
b) $8752\div16$
c) $3748\div18$
d) $4896\div24$
e) $2940\div15$
f) $74\,140\div110$
g) $8745\div55$
h) $8370\div45$
Question 5
Use long division to answer the following. It is a good idea to write out the 'times tables' for the divisor to help.
a) $8814\div13$
b) $14\,688\div17$
c) $10\,203\div19$
d) $10\,062\div13$
e) $5678\div17$
f) $13\,319\div19$
g) $22\,563\div23$
h) $212\,889\div29$
Question 6
Use long division to answer the following. It is a good idea to write out the 'times tables' for the divisor to help. Any remainders leave in the form $55\frac27$
a) $5999\div16$
b) $37\,433\div15$
c) $12\,789\div19$
d) $11\,407\div21$
e) $26\,917\div32$
f) $215\,273\div22$
g) $1\,139\,342\div13$
h) $183\,182\div27$
Question 7
Use long division to answer these questions. Any remainders should be in the form $6r3$. Think about any short cuts you may be able to take.
a) $6606\div18$
b) $7284\div17$
c) $16\,006\div19$
d) $990\div22$
e) $21\,936\div48$
f) $61\,194\div78$
g) $32\,913\div53$
h) $44\,230\div93$
i) $19\,032\div244$
j) $43\,589\div479$
k) $93\,832\div124$
l) $2\,924\,778\div786$
Answers
Question 1
a) $178$
b) $3916$
c) $155$
d) $29$
e) $26$
f) $67$
g) $475$
h) $134$
Question 2
a) $45r1$
b) $374r2$
c) $425r6$
d) $678$
e) $4578r5$
f) $375r2$
g) $234$
h) $1162$
Question 3
a) $373\frac34$
b) $678\frac16$
c) $347\frac38$
d) $1002\frac23$
e) $1349\frac15$
f) $510$
g) $1410\frac47$
h) $5008\frac49$
Question 4
a) $316$
b) $547$
c) $208r2$
d) $204$
e) $196$
f) $674$
g) $159$
h) $70$
Question 5
a) $678$
b) $864$
c) $537$
d) $774$
e) $5678$
f) $701$
g) $981$
h) $7341$
Question 6
a) $374\frac{15}{16}$
b) $2495\frac{8}{15}$
c) $673\frac{2}{19}$
d) $543\frac{4}{21}$
e) $841\frac{5}{32}$
f) $9785\frac{3}{22}$
g) $87641\frac{9}{13}$
h) $6784\frac{14}{27}$
Question 7
a) $367$
b) $428r8$
c) $842r8$
d) $45$
e) $457$
f) $823$
g) $621$
h) $475r55$
i) $78$
j) $91$
k) $756r88$
l) $3721r72$
Solutions
Question 1
a) $\begin{align}178\\2\overline{)356}\\-\underline{2}\,\,\,\,\,\,\\15\,\,\,\,\\-\underline{14}\,\,\,\,\\16\,\\\underline{16}\,\\0\,\end{align}$
b) $\begin{align}3916\\2\overline{)7832}\\-\underline{6}\,\,\,\,\,\,\,\,\\18\,\,\,\,\,\,\\-\underline{18}\,\,\,\,\,\,\\03\,\,\,\\-\underline{2}\,\,\\12\\-\underline{12}\\0\end{align}$
c) $\begin{align}155\\4\overline{)620}\\-\underline{4}\,\,\,\,\,\,\\22\,\,\,\\-\underline{20}\,\,\,\\20\\-\underline{20}\\0\end{align}$
d) $\begin{align}29\\5\overline{)145}\\-\underline{10}\,\,\,\\45\\-\underline{45}\\0\end{align}$
e) $\begin{align}26\\7\overline{)182}\\-\underline{14}\,\,\,\\42\\-\underline{42}\\0\end{align}$
f)
g)
h)
Question 2
a) $\begin{align}45&r1\\6\overline{)271}\\-\underline{24}\,\,\,\\31\\-\underline{30}\\1\end{align}$
b) $\begin{align}374&r2\\5\overline{)1872}\\-\underline{15}\,\,\,\,\,\,\\37\,\,\,\\-\underline{35}\,\,\,\\22\\-\underline{20}\\2\end{align}$
c) $\begin{align}425&r6\\7\overline{)2981}\\-\underline{28}\,\,\,\,\,\,\\18\,\,\,\\-\underline{14}\,\,\,\\41\\-\underline{35}\\6\end{align}$
d)
e)
f)
g)
h)
Question 3
a) $\begin{align}373&\tfrac34\\4\overline{)1495}\\-\underline{12}\,\,\,\,\,\,\\29\,\,\,\\-\underline{28}\,\,\,\\15\\-\underline{12}\\3\end{align}$
b) $\begin{align}678&\tfrac16\\6\overline{)4069}\\-\underline{36}\,\,\,\,\,\,\\46\,\,\,\\-\underline{42}\,\,\,\\49\\-\underline{48}\\1\end{align}$
c)
d) $\begin{align}1002&\tfrac23\\3\overline{)3008}\\-\underline{3}\,\,\,\,\,\,\,\,\\00\,\,\,\,\,\,\\-\underline{00}\,\,\,\,\,\,\\00\,\,\,\\-\underline{00}\,\,\,\\08\\-\underline{6}\\2\end{align}$
e)
f)
g)
h) $\begin{align}5008&\tfrac49\\9\overline{)45076}\\-\underline{45}\,\,\,\,\,\,\,\,\,\\00\,\,\,\,\,\,\\-\underline{00}\,\,\,\,\,\,\\07\,\,\,\\-\underline{00}\,\,\,\\76\\-\underline{72}\\4\end{align}$
Question 4
a) Both $4424$ and $14$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$4424\div14=2212\div7$
Then we can perform the long division
$\begin{align}316\\7\overline{)2212}\\-\underline{21}\,\,\,\,\,\,\\11\,\,\,\\-\underline{7}\,\,\\42\\-\underline{42}\\0\end{align}$
b) Both $8752$ and $16$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$8752\div16=4376\div8$
Then we can perform the long division
$\begin{align}547\\8\overline{)4376}\\-\underline{40}\,\,\,\,\,\,\\37\,\,\,\\-\underline{32}\,\,\,\\56\\-\underline{56}\\0\end{align}$
c) Both $3748$ and $18$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$3748\div18=1874\div9$
Then we can perform the long division
$\begin{align}208&r2\\9\overline{)1874}\\-\underline{18}\,\,\,\,\,\,\\07\,\,\,\\-\underline{00}\,\,\,\\74\\-\underline{72}\\2\end{align}$
d) Both $4896$ and $24$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$4969\div24=2448\div12$
Both $2448$ and $12$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$2448\div12=1224\div6$
Both $1224$ and $6$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$1224\div6=612\div3$
Then we can perform the long division
$\begin{align}204\\3\overline{)612}\\-\underline{6}\,\,\,\,\,\,\\01\,\,\,\,\\-\underline{00}\,\,\,\,\\12\,\\-\underline{12}\,\\0\end{align}$
e) Both $2940$ and $15$ are divisible by $5$, so the first step is to divide both of the numbers by $2$
$2940\div15=588\div3$
Then we can perform the long division
$\begin{align}196\\3\overline{)588}\\-\underline{3}\,\,\,\,\,\,\\28\,\,\,\,\\-\underline{27}\,\,\,\,\\18\\-\underline{18}\\0\end{align}$
f)
g)
h)
Question 5
a) $8814\div13$
You may not necessarily know the $13$ 'times table' so it is a good idea to write this out first:
$13\times1=13$
$13\times2=26$
$13\times3=39$
$13\times4=52$
$13\times5=65$
$13\times6=78$
$13\times7=91$
$13\times8=104$
$13\times9=117$
$13\times10=130$
Then we can perform the long division
$\begin{align}678\\13\overline{)8814}\\-\underline{78}\,\,\,\,\,\,\\101\,\,\,\\-\underline{91}\,\,\,\\104\\-\underline{104}\\0\end{align}$
b) $14688\div17$
You may not necessarily know the $17$ 'times table' so it is a good idea to write this out first:
$17\times1=17$
$17\times2=34$
$17\times3=51$
$17\times4=68$
$17\times5=85$
$17\times6=102$
$17\times7=119$
$17\times8=136$
$17\times9=153$
$17\times10=170$
Then we can perform the long division
$\begin{align}864\\17\overline{)14688}\\-\underline{136}\,\,\,\,\,\,\\108\,\,\,\\-\underline{102}\,\,\,\\68\\-\underline{68}\\0\end{align}$
c) $10203\div19$
You may not necessarily know the $19$ 'times table' so it is a good idea to write this out first:
$19\times1=19$
$19\times2=38$
$19\times3=57$
$19\times4=76$
$19\times5=95$
$19\times6=114$
$19\times7=133$
$19\times8=152$
$19\times9=171$
$19\times10=190$
Then we can perform the long division
$\begin{align}537\\19\overline{)10203}\\-\underline{95}\,\,\,\,\,\,\\70\,\,\,\\-\underline{57}\,\,\,\\133\\-\underline{133}\\0\end{align}$
d)
e)
f)
g) $22563\div23$
You may not necessarily know the $23$ 'times table' so it is a good idea to write this out first:
$23\times1=23$
$23\times2=46$
$23\times3=69$
$23\times4=92$
$23\times5=115$
$23\times6=138$
$23\times7=161$
$23\times8=184$
$23\times9=207$
$23\times10=230$
Then we can perform the long division
$\begin{align}981\\23\overline{)22563}\\-\underline{207}\,\,\,\,\,\,\\186\,\,\,\\-\underline{184}\,\,\,\\23\\-\underline{23}\\0\end{align}$
h)
Question 6
a) $5999\div16$
You may not necessarily know the $16$ 'times table' so it is a good idea to write this out first:
$16\times1=16$
$16\times2=32$
$16\times3=48$
$16\times4=64$
$16\times5=80$
$16\times6=96$
$16\times7=112$
$16\times8=128$
$16\times9=144$
$16\times10=160$
Then we can perform the long division
$\begin{align}374&\tfrac{15}{16}\\16\overline{)5999}\\-\underline{48}\,\,\,\,\,\,\\119\,\,\,\\-\underline{112}\,\,\,\\79\\-\underline{64}\\15\end{align}$
b)
c)
d) $11407\div21$
You may not necessarily know the $21$ 'times table' so it is a good idea to write this out first:
$21\times1=21$
$21\times2=42$
$21\times3=63$
$21\times4=84$
$21\times5=105$
$21\times6=126$
$21\times7=147$
$21\times8=168$
$21\times9=189$
$21\times10=210$
Then we can perform the long division
$\begin{align}543&\tfrac{4}{21}\\21\overline{)11407}\\-\underline{105}\,\,\,\,\,\,\\90\,\,\,\\-\underline{84}\,\,\,\\67\\-\underline{63}\\4\end{align}$
e)
f)
g)
h)
Question 7
a) Both $6606$ and $18$ are divisible by $6$, so the first step is to divide both of the numbers by $6$
$6606\div18=1101\div3$
Then we can perform the long division
$\begin{align}367\\3\overline{)1101}\\-\underline{9}\,\,\,\,\,\,\\20\,\,\,\\-\underline{18}\,\,\\21\\-\underline{21}\\0\end{align}$
b)
c)
d)
e) Both $21\,936$ and $48$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$21\,936\div48=10968\div24$
Both $10\,968$ and $24$ are divisible by $2$, so the first step is to divide both of the numbers by $2$
$10\,968\div24=5484\div12$
Then we can perform the long division
$\begin{align}457\\12\overline{)5484}\\-\underline{48}\,\,\,\,\,\,\\68\,\,\,\,\\-\underline{60}\,\,\,\,\\84\,\\-\underline{84}\\0\end{align}$
f)
g)
h)
i)
j)
k)
l)