Long division at home: a step-by-step guide for parents

Long division is one short routine repeated: divide, multiply, subtract, check, bring down, then start again with the next digit until none are left. A child who knows their multiplication facts can usually learn it with about 10 minutes of practice a day for two weeks. The two habits that catch nearly every mistake are estimating before you start and multiplying back when you finish.

What does my child need to know before long division?

Your child needs quick multiplication facts, a solid sense of place value, and the habit of estimating. Without these, the steps turn into guessing.

Facts matter most: each "divide" step really asks "which fact gets closest without going over?" If your child still counts by sevens, see our guide to multiplication fact fluency and our multiplication practice worksheets.

How do you do long division step by step?

Repeat the same five steps for each digit, left to right. Here's 864 ÷ 6. Estimate first: 600 ÷ 6 = 100 and 1,200 ÷ 6 = 200, so the answer should be between 100 and 200.

Answer: 144. It's between 100 and 200, as estimated. Check by multiplying back: 144 × 6 = 864.

The "check" step is the one kids skip: the leftover must be smaller than the divisor. If it isn't, the answer digit is too small.

How do you handle a zero or a remainder in long division?

When the divisor doesn't fit into the number you brought down, write a 0 in the answer and bring down the next digit. When there's nothing left to bring down, what's left over is the remainder. This example has both: 2,145 ÷ 7. Estimate first: 2,100 ÷ 7 = 300, so the answer should be a little over 300.

Answer: 306 remainder 3 (often written 306 R3). It's just over 300, as the estimate said. Check: 306 × 7 = 2,142, and 2,142 + 3 = 2,145.

Round 2 is where most children go wrong. Nothing seems to happen, so they skip the 0 and get 36 R3, nowhere near the estimate.

What is the partial quotients method?

Partial quotients means taking away easy groups of the divisor, like 100 or 10 groups at a time, then adding up the groups. Many schools teach it first because it shows why division works.

Here's 864 ÷ 6 again:

And 2,145 ÷ 7: take away 2,100 (300 × 7), leaving 45. Take away 42 (6 × 7), leaving 3. That's 300 + 6 = 306 groups, with 3 left over: 306 R3.

The zero problem disappears here, because your child thinks in hundreds and ones, not single digits. If the teacher uses this method, stick with it at home. Taking away 10 groups at a time still works; it just takes more rows. Nudge toward bigger chunks: "Could you take away more at once?"

What's a good memory trick for the steps of long division?

The most common trick is a silly sentence whose words start with the steps: Does McDonald's Sell Cheeseburgers? That's Divide, Multiply, Subtract, Check, Bring down. Some families use Dad, Mom, Sister, Cousin, Brother, and a sentence your child invents often sticks best.

To make it stick, write "D M S C B" across the top of the homework, and have your child say each step aloud: "Divide: how many 7s in 45? Six."

What are the most common long division mistakes?

These six mistakes cause most wrong answers, and each has a simple fix. To find your child's, watch one problem done out loud without correcting, then look back together.

If the same mistake keeps showing up, practice that one thing for a few days. Our guide on turning homework mistakes into targeted practice shows how.

How do you check a long division answer?

Multiply the answer by the divisor, then add the remainder. If you get the number you started with, the answer is right. For 2,145 ÷ 7 = 306 R3: 306 × 7 = 2,142, and 2,142 + 3 = 2,145.

Also compare with the estimate (36 can't be right if you expected about 300) and make sure the remainder is smaller than the divisor.

How should we practice long division over two weeks?

Plan on about 10 minutes a day, five days a week, with two to six problems rather than a full page. Each day adds one idea, and every answer gets multiplied back.

Cover the answers first; they're for you. If a day goes badly, repeat it tomorrow. Once your child handles mixed four-digit problems with zeros and remainders, they're ready for two-digit divisors. See what's typical on our 4th grade and 5th grade pages.

How Easy Twin can help

Easy Twin can turn a division worksheet into more matching practice. It's an iPhone app for parents that scans a child's school worksheet and uses AI to create a "twin" worksheet that practices the same skills with new numbers, names, and wording, ready to print or solve interactively.

• One new problem for every original. Each twin question practices the same skill at the same difficulty, with different numbers, so your child does the steps again instead of remembering the answers. See more about division practice worksheets.
• Paper practice with an answer key. Long division is best done with a pencil. You can print the twin worksheet with "Show your work" space and an optional answer key, which is the easiest way to check answers with remainders.
• Hints and worked steps. Every question comes with two hints that don't give away the answer and a short set of solution steps you can walk through together.

Make a twin of your child's worksheet

Download free and get 3 free scans. Scan a page and your kid gets a quest to play with their Stuffy, or print the twin with an answer key.

Download on theApp Store

Requires iOS 26 or later. Works on iPhone and iPad.

• 3 free scans to start
• No ads, no tracking
• Kindergarten to 8th grade