For Parents
How to Do Long Division (and Explain It to a Child)
By Sarah Ahmed · · 4 min read
Quick answer
Long division repeats four steps — divide, multiply, subtract, bring down — until there is nothing left to bring down. Each cycle finds one digit of the answer. The most common sticking points are place value and remainders, so keep the columns lined up and talk through what each digit means.
The four-step cycle
Long division is one small routine repeated: divide the current number, multiply the result back, subtract to find what is left, then bring down the next digit. Each loop produces one digit of the answer.
Presenting it as a repeating cycle rather than a long list of steps makes it far less intimidating for a child, because there is really only one thing to learn.
Keep place value visible
The most common cause of wrong answers is columns drifting out of line, so digits end up in the wrong place. Squared paper, or careful spacing, keeps hundreds above hundreds and tens above tens.
When helping a child, narrate the place value — 'how many hundreds, how many tens' — because that is usually where the confusion actually lives.
Handling remainders
When a step does not divide exactly, the leftover is carried into the next digit by bringing down. At the end, any leftover is the remainder, which can be written as a remainder, a fraction, or continued as a decimal.
Deciding which form the question wants is part of the skill. Bringing down a zero after a decimal point continues the division into decimals.
When to help and when to wait
If a child stalls, resist finishing the sum for them. Ask which of the four steps they are on — that question alone often unsticks them, because they know the steps but lost their place.
Doing the sum for them hides where the misunderstanding is, which makes the next sum just as hard.
Estimate to check
Before dividing, a rough estimate — 620 divided by 20 is about 30 — gives a sense of the expected answer. If the final result is wildly different, something went wrong.
This habit catches the large errors, like a misplaced digit that makes the answer ten times too big, which are otherwise easy to miss.
Does it still matter?
Calculators exist, but long division teaches place value, estimation and the structure of numbers in a way that pressing buttons does not. It is on the curriculum for that reason, not for calculation speed.
A child who understands long division understands how our number system works, which supports everything from decimals to algebra later.
Frequently asked questions
What are the steps of long division?+
Divide, multiply, subtract, bring down — repeated until there is nothing left to bring down. Each cycle produces one digit of the answer, so it is one routine repeated rather than many separate steps.
Why does my child keep getting the wrong answer?+
Most often because the columns drift out of line and digits land in the wrong place value. Squared paper and careful spacing fix the majority of long-division errors.
How do I handle a remainder?+
The leftover at the end is the remainder. It can be written as 'r' plus the number, as a fraction over the divisor, or you can add a decimal point and bring down zeros to continue.
Should I let my child use a calculator instead?+
For learning, no — long division teaches place value and estimation that calculators bypass. Once the concept is secure, calculators are fine for speed in other work.
How can I help without confusing them?+
Ask which of the four steps they are on rather than taking over. They usually know the steps and have lost their place, and naming the step gets them going again.
Try your first session free
Meet your tutor, set your goals, and see the difference one-to-one attention makes. No card required, no commitment.