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Learn Long Division

A clear, repeatable routine for dividing big numbers on paper.

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Long division is a written method for dividing large numbers by breaking the problem into small, repeatable steps. You work from the left, one digit at a time, and repeat the same cycle: divide, multiply, subtract, bring down. For 952 divided by 7, you find 7 goes into 9 once, subtract to get 2, bring down the 5 to make 25, and continue until you reach 136. Most children learn it in fourth or fifth grade, and many adults who want to help them have forgotten the routine. Learnr builds a long division course for your level and teaches it in short interactive lessons that check each step.

How to learn Long Division, step by step

Make the times tables solid first. Long division is mostly multiplication facts in disguise. If a child hesitates on 7 times 8, practice tables up to 9 times 9 before starting, or the method will feel much harder than it is.
Learn the four-step cycle by name. Divide, multiply, subtract, bring down, then repeat. Some families use a memory phrase like "Does McDonald's sell burgers" to remember the order. Say the step aloud while writing it.
Work one example slowly with grid paper. For 952 divided by 7: 7 into 9 is 1, subtract 7 to leave 2, bring down 5 to get 25, 7 into 25 is 3 with 4 left, bring down 2 to get 42, and 7 into 42 is 6. The answer is 136.
Practice zeros and remainders on purpose. In 812 divided by 4, the 4 cannot go into the 1, so write 0 in the quotient before bringing down the 2, giving 203. Then try 100 divided by 7, which is 14 remainder 2.
Check every answer by multiplying back. Multiply the quotient by the divisor and add the remainder: 136 times 7 is 952. This habit catches slips immediately and builds confidence without needing an answer key.
Move to two-digit divisors with estimation. Round the divisor to estimate each digit, such as treating 23 as 20, then adjust. A few problems a day in a Learnr course, with a streak, keeps the routine fresh between school lessons.

What you'll learn

Run the divide, multiply, subtract, bring down cycle reliably
Divide multi-digit numbers by one-digit divisors
Handle zeros in the quotient and write remainders
Divide by two-digit divisors using estimation
Check any answer with multiplication

What's inside your Long Division course

A sample path Learnr builds for Long Division. Your real course adapts to your goal and level.

1. What division means and the parts of a division problem
2. Times tables and estimation warm-up
3. The four-step cycle with one-digit divisors
4. Zeros in the quotient and remainders
5. Two-digit divisors
6. Decimals in the quotient and checking answers

How long does it take to learn Long Division?

Children who know their times tables usually learn one-digit long division in 2 to 4 weeks of short daily practice. Two-digit divisors take another 2 to 4 weeks. Adults relearning it to help a child often need only a few sessions.

What you need before you start

Multiplication facts up to 9 times 9, subtraction with regrouping and an understanding of place value (ones, tens, hundreds). Knowing that division means sharing into equal groups helps too.

Common mistakes to avoid

Forgetting to write a 0 in the quotient when the divisor does not fit, which gives 23 instead of 203 for 812 divided by 4.
Lining digits up in the wrong columns. Grid paper keeps each digit of the quotient above the matching digit of the dividend.
Ending with a remainder bigger than the divisor, which means the last quotient digit was too small. Increase it by one and redo that step.

How Learnr builds your course

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Long Division questions, answered

How can I help my child with long division?

Make sure times tables are solid first, use grid paper, say the four steps aloud together and check every answer by multiplying back. Short daily practice works better than long sessions.

Why do schools still teach long division?

It reinforces place value, estimation and multiplication, and the same routine later carries over to dividing decimals and dividing polynomials in algebra.

What is the difference between long division and short division?

Short division does the multiplying and subtracting mentally and writes only the remainders as small carried digits. Long division writes every step, which is easier to follow and check.