Long Division Practice: 4-Digit Numbers Divided by 12

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Dividing by a two-digit number can feel tricky at first, but long division makes it simple and tidy. In this free printable activity, children divide 4-digit numbers by 12 using the classic divide, multiply, subtract, bring down steps. Some answers come out exactly, and others leave a remainder, so your child learns to check carefully instead of guessing.

It is great practice for ages 10 to 12, at home or in the classroom. Each question is laid out with plenty of room for working, so neat columns and careful place value become a habit.

How to play

  1. Write the 4-digit number inside the long division bracket and put 12 outside. Keep digits in neat columns so your working stays tidy.
  2. Ask how many 12s fit into the first digits. Write that number above, multiply it by 12, and subtract to find what is left.
  3. Bring down the next digit and repeat divide, multiply, subtract until every digit has been used.
  4. Anything left at the end is the remainder. Write it as r 5, for example, then check by multiplying your answer by 12 and adding the remainder.

This activity builds confidence with two-digit divisors, a key step before fractions, ratios and algebra. Your child practises the full long division cycle, estimates how many times 12 fits into a number, uses place value correctly and handles remainders without panic. The multiply-and-add check teaches them to prove their own answer, which is a valuable habit for exams. If your child is still learning, let them write a small times-table list for 12 beside the page. Praise neat columns and clear working, not just the final answer, since most mistakes here come from misaligned digits rather than weak maths.

Frequently asked questions

What age is long division by 12 suitable for?
It suits most children aged 10 to 12, once they are confident with short division and the 12 times table. Younger children usually start with the bus stop method and single-digit divisors before moving to a two-digit divisor like 12.
How do I explain remainders to my child?
Use a sharing story. If 1,450 pencils are packed into boxes of 12, the quotient is the number of full boxes and the remainder is the pencils left over that cannot fill another box. Seeing it as leftovers makes the idea click quickly.
How can my child check a long division answer?
Multiply the answer by 12 and add the remainder. If the result matches the original number, the answer is correct. This check takes under a minute and helps children spot subtraction slips or a digit written in the wrong column.
Is this worksheet free to print?
Yes. The activity is free to download and print at home or in school, as many times as you like. Print a fresh set whenever your child needs more practice, or use one page a day for short, regular revision.

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Updated 5 Nov 2026