Long Division, Step by Step: How to Teach It Without Tears
Quick answer
To teach long division, show your child the four repeating steps: divide (how many times does the divisor fit?), multiply (that answer times the divisor), subtract (to find what’s left), and bring down the next digit. Then repeat those steps until you run out of digits. Most kids learn this in 4th and 5th grade, and the key is to go slowly at first so the rhythm becomes automatic.
Long division is the math skill parents dread most, and for good reason. It’s a long process with multiple steps, and one mistake early on can derail the whole problem. But the actual long division steps are not complicated once you see them in action. Below is how to teach it in a way that makes sense, starting with a worked example and including the mistakes to watch for.
What is long division and when do kids learn it?
Long division is a method for dividing large numbers by breaking the problem into smaller, repeating steps. Instead of trying to figure out 144 ÷ 6 in your head, you work through it column by column from left to right.
This skill maps to two Common Core standards:
- 4th grade (4.NBT.B.6): Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.
- 5th grade (5.NBT.B.6): Divide multi-digit numbers by two-digit divisors.
Most 4th graders start with one-digit divisors (like 144 ÷ 6) and 5th graders move on to two-digit divisors (like 144 ÷ 12). The process is the same either way.
The long division steps, explained with a real example
The best way to learn long division is to work through one problem together while you narrate every step. Let’s use 144 ÷ 6.
Step 1: Divide. Look at the first digit of 144, which is 1. Can 6 go into 1? No, so look at the first two digits: 14. How many times does 6 go into 14? It goes 2 times (because 6 × 2 = 12, and 6 × 3 = 18, which is too big). Write the 2 above the 4 in the dividend.
Step 2: Multiply. Multiply your answer (2) by the divisor (6). 2 × 6 = 12. Write 12 below the 14.
Step 3: Subtract. Subtract 12 from 14. 14 - 12 = 2. Write 2 below the line.
Step 4: Bring down. Bring down the next digit from the dividend, which is 4. Write it next to the 2, so now you have 24.
Step 5: Repeat. Go back to step 1. How many times does 6 go into 24? It goes 4 times (6 × 4 = 24). Write the 4 above the second 4 in the dividend. Multiply: 4 × 6 = 24. Subtract: 24 - 24 = 0. There are no more digits to bring down, so you’re done.
The answer is 24. You can check it by multiplying: 24 × 6 = 144.
The 4 mistakes kids make most (and how to fix them)
How to practice long division at home
Long division gets easier with repetition, but the repetition has to be the right kind. A few ideas:
- Start with problems that divide evenly (no remainders) and use small divisors like 3, 4, or 5. Once those feel automatic, add remainders and bigger divisors.
- Work one problem together, then have your child narrate the next one to you. Saying the steps out loud makes them stick.
- Use real division scenarios: splitting a bag of 48 candies among 6 friends, figuring out how many weeks are in 365 days, or dividing a recipe.
- Keep it short. Three problems a day beats ten problems once a week. Five to ten minutes of focused practice is enough.
When your child makes a mistake, don’t point it out right away. Ask ‘What’s the next step?’ and let them catch it themselves. That pause is where the learning happens.
What about remainders?
Once your child can do long division with problems that divide evenly, introduce remainders. A remainder is what’s left over when the divisor doesn’t go into the dividend an exact number of times.
Take 145 ÷ 6. You work through the same steps and get 24, but after you bring down the 5 and subtract, you’re left with 1. Since there are no more digits to bring down and 6 doesn’t go into 1, that 1 is the remainder. You write the answer as 24 R1 or 24 remainder 1.
In 5th grade, kids learn to express remainders as fractions (24 and 1/6) or decimals (24.166…), but in 4th grade, writing R1 is enough.
How to know your child has mastered long division
Your child is ready to move on when they can:
- Divide a three-digit or four-digit number by a one-digit divisor without help.
- Explain each of the four steps (divide, multiply, subtract, bring down) in their own words.
- Check their answer by multiplying the quotient by the divisor.
- Solve a word problem that requires long division, like ‘If 156 students are split into 6 classrooms, how many students are in each classroom?’
When those feel solid, the next step is dividing by two-digit divisors, which uses the exact same process but requires better estimation in the divide step.
The easiest way to give your child practice
For most parents, the hardest part of teaching long division isn’t explaining the steps. It’s coming up with enough practice problems at the right level and keeping your child willing to do them. That’s where Octolearn helps: describe the skill (‘long division with one-digit divisors’), and it builds a grade-matched practice set with read-aloud support, a hint and a second try on every question, and stars that keep kids coming back.