How to Teach Long Division to Your Child

By the Practice Buds team · October 12, 2026

Short answer

Teach long division as a loop of four small jobs that repeat: divide, multiply, subtract, bring down. Once your child can say the loop out loud and knows the times tables, the rest is practice on printable long division worksheets, starting with one-digit divisors. Most children meet this in 4th grade, and it takes a few weeks of short, steady sessions to feel automatic.

Why kids find this hard

Long division asks your child to hold several skills at once. They need multiplication facts ready, they need to subtract without slipping, and they need to remember where each digit goes on the page. Any one of those can wobble, and the whole problem falls over.

It also looks different from every other operation. Addition, subtraction and multiplication all start on the right. Long division starts on the left, and that feels backward at first. The good news is that the steps never change. Your child is not learning a new idea each time, only repeating the same loop on bigger numbers.

How to teach it

Do these tonight, with a pencil and a sheet of lined or graph paper. Ten to fifteen minutes is plenty.

  1. Check the facts first. Ask five quick questions such as "How many 4s in 24?" If your child hesitates, spend a week on division facts and multiplication facts before going further.
  2. Draw the bracket and name the parts. Write the number being divided (the dividend) inside the bracket and the number you divide by (the divisor) outside on the left. The answer (the quotient) goes on top.
  3. Say the loop together: divide, multiply, subtract, bring down. Write the four words on an index card and keep it beside the page.
  4. Always start with the first digit of the dividend. If it is smaller than the divisor, take the first two digits together.
  5. Do one problem together, with you holding the pencil and your child giving each step out loud. Then swap: your child writes and you ask "What comes next?"
  6. After every answer, check by multiplying the quotient by the divisor and adding any remainder. This habit catches most errors before they become a grade-book problem.
  7. Move to harder problems only after your child can finish three in a row without prompting.

Worked example

Let's solve 856 ÷ 4 one step at a time.

  1. Look at the first digit. 8 is bigger than 4, so we can start there. Divide: 8 ÷ 4 = 2. Write 2 on top, over the 8.
  2. Multiply: 4 × 2 = 8. Write 8 under the 8.
  3. Subtract: 8 − 8 = 0. Nothing is left over.
  4. Bring down the next digit, 5, to make 5.
  5. Divide: 5 ÷ 4 = 1 R 1. Write 1 on top, next to the 2.
  6. Multiply: 4 × 1 = 4. Subtract: 5 − 4 = 1.
  7. Bring down the last digit, 6, to make 16.
  8. Divide: 16 ÷ 4 = 4. Write 4 on top. Multiply: 4 × 4 = 16. Subtract: 16 − 16 = 0.

The quotient is 214 with nothing left over. Check it: 214 × 4 = 856. It matches.

Now one with a remainder: 487 ÷ 6.

  1. 4 is smaller than 6, so take the first two digits. Divide: 48 ÷ 6 = 8. Write 8 on top, over the 8 of 48.
  2. Multiply: 6 × 8 = 48. Subtract: 48 − 48 = 0.
  3. Bring down the 7. Divide: 7 ÷ 6 = 1 R 1. Write 1 on top.
  4. Multiply: 6 × 1 = 6. Subtract: 7 − 6 = 1.
  5. There are no more digits to bring down, so 1 is the remainder.

The answer is 81 R 1. Check it: 6 × 81 + 1 = 487.

Common mistakes

Forgetting to bring down. Your child subtracts and then starts a new problem without pulling the next digit down. You will see an answer that is far too short. Fix it by tapping the next digit with the pencil every time you finish a subtraction, and by keeping the index card in view.

Leaving out a zero in the answer. Try 612 ÷ 6. After the first step, 1 is left, and 1 ÷ 6 = 0 R 1, so a 0 has to go on top before the 2 is brought down. Children often skip it and write 12 instead of 102. Spot it by estimating first: 612 is a little over 600, so the answer should be about 100, not 12. Fix it with the rule "every digit we bring down gets a digit on top, even if that digit is 0."

Lining up digits in the wrong place. If the quotient digits drift out of line with the dividend, place values get mixed up. Graph paper, or turning lined paper sideways, keeps every digit in its own column.

Subtraction slips. Often the division was right and the subtraction was wrong. If a remainder comes out bigger than the divisor, the last multiply step was too small. Have your child try one number higher and subtract again.

Practice ladder

  • Week 1: Facts only. Two minutes of division facts a day, plus one or two long division problems done together, such as 84 ÷ 2 and 96 ÷ 3.
  • Week 2: Two-digit dividends with a one-digit divisor and no remainders. Your child does the loop alone and checks with multiplication.
  • Week 3: Add remainders, using division with remainders practice. Teach your child to write the remainder as "R" and to check that it is smaller than the divisor.
  • Week 4: Three-digit dividends, including answers with a zero in the middle, like 612 ÷ 6.
  • Later (grade 5): Two-digit divisors. Estimating by rounding the divisor is the new skill, so go slowly and keep checking by multiplication.

For the full set of topics around this skill, see the division worksheets page.

FAQ

What grade is long division taught in? One-digit divisors usually arrive in 4th grade, and two-digit divisors in 5th. That lines up with Common Core standards 4.NBT.B.6 and 5.NBT.B.6.

Should my child memorize all the times tables first? Strong facts make this far easier, but your child does not need every fact perfect. If a few are shaky, keep a times table chart beside the page and keep working on those facts separately.

Is it okay to use the short, mental method instead? Yes, for easy problems. The written method is worth learning because it still works when the numbers get large, and it sets up division with decimals later.

How many problems should we do in one sitting? Four to six, done carefully, beat twenty done in a hurry. Stop while your child is still working accurately.

Practice at home

Short, regular sessions work best, and each one should end on a problem your child gets right. Our printable long division worksheets move from one-digit divisors to larger numbers, with answer keys so you can check the work quickly. Printing needs a free account.