Long division worksheets

Questions

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Year 6 · Long division

Long division: 4-digit ÷ 2-digit with remainders


1)4034 ÷ 76 =
2)6324 ÷ 26 =
3)5303 ÷ 55 =
4)9250 ÷ 24 =
5)3521 ÷ 92 =
6)4976 ÷ 75 =
7)8358 ÷ 33 =
8)4368 ÷ 99 =
9)3473 ÷ 13 =
10)9851 ÷ 71 =
11)9196 ÷ 25 =
12)3648 ÷ 28 =
13)5302 ÷ 60 =
14)9460 ÷ 25 =
15)6685 ÷ 62 =
ticked. · free UK primary worksheetsSheet #00137

Answer key

For marking

Year 6 · Long division · Long division: 4-digit ÷ 2-digit with remainders


1)4034 ÷ 76 = 53 r 6
2)6324 ÷ 26 = 243 r 6
3)5303 ÷ 55 = 96 r 23
4)9250 ÷ 24 = 385 r 10
5)3521 ÷ 92 = 38 r 25
6)4976 ÷ 75 = 66 r 26
7)8358 ÷ 33 = 253 r 9
8)4368 ÷ 99 = 44 r 12
9)3473 ÷ 13 = 267 r 2
10)9851 ÷ 71 = 138 r 53
11)9196 ÷ 25 = 367 r 21
12)3648 ÷ 28 = 130 r 8
13)5302 ÷ 60 = 88 r 22
14)9460 ÷ 25 = 378 r 10
15)6685 ÷ 62 = 107 r 51
ticked. · answersSheet #00137

What Year 6 long division covers

Long division is the other of Year 6's two signature written methods. Children divide a number of up to four digits by a two-digit number and interpret the remainder — as a whole number here, and in a word problem as a fraction, or by rounding, depending on what the question is really asking. Every divisor on the sheet above has two digits, so the long method is always needed, and every question leaves a genuine remainder rather than dividing neatly. Answers are written in the UK form, “253 r 9”. Every sheet is A4, print-ready, and comes with an answer key.

Answers included — a separate marking page with every sheet.

Questions parents ask

What is long division?

It is the formal written method for dividing by a two-digit number. Because you cannot recall 4368 ÷ 99 as a fact, you work left to right through the dividend, and each step is written out in full: how many times the divisor goes in, the product subtracted, the next digit brought down. The national curriculum introduces it in Year 6, for numbers of up to four digits divided by a two-digit whole number.

How is it different from short division?

Short division — the “bus stop” — is what Year 5 does, and it works because the divisor is a single digit you know your tables for. In long division the divisor has two digits, so there is no fact to recall and each subtraction has to be written underneath. That is the whole reason the layout is longer. Every question on this sheet uses a two-digit divisor, so none of them collapses back into short division.

Are the answers included?

Yes. Keep 'Answers' ticked and a separate answer-key page is made with every sheet, so marking takes seconds. Every answer is computed exactly and checked.

Do I need to sign up?

No. Set the sheet up, make it, then print it or download the PDF. There is no login, ever.