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How to teach long division at home

Before teaching long division, check the prerequisites. A child needs quick division facts like 56 ÷ 8 = 7, solid subtraction, and an understanding of place value. If the facts are slow, every step of long division is slow, and the method feels impossible.

Then build up in small steps. Each step adds one new idea.

A teaching order that works

• 1. Facts. 42 ÷ 6 = 7 because 6 × 7 = 42. Division facts are multiplication facts in reverse.
• 2. Two digits, no regrouping. 84 ÷ 4 = 21: 8 tens shared by 4 is 2 tens, 4 ones shared by 4 is 1 one.
• 3. Two digits with regrouping. 72 ÷ 3 = 24: 3 goes into 7 twice with 1 ten left, which joins the 2 to make 12.
• 4. Remainders, then three digits, then two-digit divisors. For example 93 ÷ 4 = 23 R 1.

Practice problems in teaching order

Tips for parents

• Use base-ten blocks or coins (dimes and pennies) to show sharing tens and ones.
• Keep sessions short and stop on a success.
• Ask your child to explain each step aloud. It shows you exactly where the confusion is.