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Long Division Is a Nightmare

We hold no study of why long division is hard for one child. A 2021 federal guide on extra math help shows one way to teach it, through a worked example. It treats dividing as taking away easy groups, again and again. That example is a teaching example, not a method tested on its own.

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Long division is a written way to divide a big number. You work through it one digit at a time.

”Long division

Why is long division so hard for my child?

We hold no study of why long division is hard for one child. In our view, long division asks for many steps in a row. In the usual method, a child divides, multiplies, takes away and brings down. Then they do it all again. In our view, that is one reason it can feel hard.

What does the federal guide say about long division?

A US federal guide on extra math help came out in 2021 (Fuchs and colleagues). It covers children who struggle with math, from kindergarten to sixth grade. It is about help in small groups or one to one, at school. It is not a guide to dyscalculia. Its studies were of help given in school, not at home. Nothing in the guide tests Learning Success.

The guide shows one way to teach long division. It treats dividing as taking away easy groups, again and again. This way builds on equal groups. The guide's example takes away 10 groups of 12, then 5 groups, then 2 more. This is a teaching example, not a method tested on its own. The groups add up to 17 groups of 12 in all. That makes 204 ÷ 12 = 17. The number 204 is our working, not the guide's.

The example sits inside advice the guide rates as strong: step-by-step teaching. Strong means its studies kept finding gains, across different groups of children. That grade is for the advice as a whole, not for each step in it.

Each study tested a whole package of help. So the guide cannot say what one step adds on its own.

We hold no study that compares taking away groups with the usual written method. In our view, this way can sit beside the usual method, as another way in for a child.

When to ask for help

Each of these is a reason to ask for help on its own.

If no skill has gone, start with the teacher. Say what you are seeing at home, and what you have tried. Beyond the teacher, the right person depends on what it turns out to be about. If the work is too hard, someone who works on that school skill. If worry or mood is the thing, someone who works with children's mental health. In our view, if you are worried enough to ask, a professional evaluation is worth asking about.

Any talk of hurting themselves is a same-day call to your doctor or a crisis line.

What to use next

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Free resources

Downloads and free programs.

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Dyscalculia screener

A set of questions you answer about what you see at home. A screener is a starting point, not a diagnosis. If your child might need formal accommodations (an IEP or 504 plan), or you suspect a vision, hearing, or medical cause, pursue a professional evaluation too — that's the only route to those supports.

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The core skills of math

What sits underneath arithmetic, one skill at a time, worked alongside math instruction, not in place of it.

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All Access

Every Learning Success program in one membership.

Common questions from parents

Is there another way to do long division?

A 2021 federal guide on extra math help shows one way to teach long division. It treats dividing as taking away easy groups, again and again. The guide's example takes away 10 groups of 12, then 5 groups, then 2 more. This is a teaching example, not a method tested on its own. The groups add up to 17 groups of 12 in all. That makes 204 ÷ 12 = 17. The number 204 is our working, not the guide's. We hold no study that compares taking away groups with the usual written method. In our view, this way gives a child another way in.

How can I help with long division at home?

A 2021 federal guide on extra math help has a long division example. It takes away 10 groups of 12, then 5 groups, then 2 more. This is a teaching example, not a method tested on its own. Here is our worked version, for 204 ÷ 12. Take away 10 groups of 12, which is 120. That leaves 84. Take away 5 groups, which is 60. That leaves 24. Take away 2 more groups. Nothing is left. Add up the groups: 10, 5 and 2 make 17. So 204 ÷ 12 = 17. The home routines on this page are ours. We hold no study that tests them at home. Do them alongside your child's math instruction, not in place of it.

What about division facts?

A fact family is a set of facts made from the same three numbers. A 2021 federal guide on extra math help uses fact families for division facts. That is one of the guide's examples, not a tested method on its own. For 3, 4 and 12, two of the facts are 12 ÷ 3 = 4 and 12 ÷ 4 = 3. That worked example is ours. In our view, long division leans on these facts at each step. Our page on multiplication and division facts has more.

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