If you’ve ever watched your child stare at a long division problem like it’s written in a foreign language, you’re not alone. Long division is one of those math skills that can feel overwhelming at first — for both kids and parents. But here’s the good news: with the right method and a little patience, any child can learn how to do long division confidently.

In this guide, I’ll walk you through a simple, step-by-step approach that breaks down long division into bite-sized pieces. You’ll get practical tips, a clear example, and actionable advice to help your child succeed. Let’s turn that math frown upside down!

Why Long Division Matters

Long division isn’t just a classroom exercise. It’s a foundational skill that builds number sense, problem-solving, and logical thinking. When kids master how to do long division, they gain the confidence to tackle more advanced math like fractions, decimals, and algebra. Plus, it’s a skill they’ll use in real life — from splitting a restaurant bill to figuring out how many cupcakes each friend gets.

The Secret: The DMSB Method

The easiest way to teach long division is with a memorable acronym: DMSB, which stands for Divide, Multiply, Subtract, Bring Down. Think of it as a simple dance your child can follow every time.

Let’s use a concrete example: 845 ÷ 5

We’ll set it up like this:

`
?
5 ) 845
`

Step 1: Divide

Ask: “How many times does 5 go into 8?” The answer is 1 (because 5 × 1 = 5, and 5 × 2 = 10 which is too big). Write that 1 above the 8.

`
1
5 ) 845
`

Step 2: Multiply

Multiply the 1 (the digit you just wrote) by the divisor (5): 1 × 5 = 5. Write that 5 below the 8.

`
1
5 ) 845
5
`

Step 3: Subtract

Subtract: 8 – 5 = 3. Write that 3 below the line.

`
1
5 ) 845
5
---
3
`

Step 4: Bring Down

Bring down the next digit (the 4) next to the 3, making it 34.

`
1
5 ) 845
5
---
34
`

Now repeat the DMSB steps with this new number (34).

Step 1 (again): Divide

How many times does 5 go into 34? 6 times (5 × 6 = 30, 5 × 7 = 35 is too big). Write 6 above the 4.

`
16
5 ) 845
5
---
34
`

Step 2 (again): Multiply

6 × 5 = 30. Write 30 below the 34.

`
16
5 ) 845
5
---
34
30
`

Step 3 (again): Subtract

34 – 30 = 4. Write 4.

`
16
5 ) 845
5
---
34
30
---
4
`

Step 4 (again): Bring Down

Bring down the next digit (the 5) next to the 4, making it 45.

`
16
5 ) 845
5
---
34
30
---
45
`

One more time!

Divide: 5 goes into 45 exactly 9 times (5 × 9 = 45). Write 9 above the 5.

`
169
5 ) 845
5
---
34
30
---
45
`

Multiply: 9 × 5 = 45. Write it below the 45.

`
169
5 ) 845
5
---
34
30
---
45
45
`

Subtract: 45 – 45 = 0. No remainder.

`
169
5 ) 845
5
---
34
30
---
45
45
---
0
`

So, 845 ÷ 5 = 169. That’s it!

Practical Tips for Teaching Long Division

1. Start with Simple Numbers

Before jumping into big numbers, practice with problems where the divisor goes evenly into the first digit (like 63 ÷ 3). This builds confidence.

2. Use Graph Paper or Grids

Lining up digits is crucial. Graph paper helps kids keep columns straight, reducing errors. You can also draw your own grid lines.

3. Teach Estimation

Before dividing, ask your child to estimate the answer. For 845 ÷ 5, they might guess around 170. This gives them a target and makes the process more meaningful.

4. Check with Multiplication

When they finish, have them multiply the quotient by the divisor to see if it matches the original number. This reinforces the relationship between division and multiplication.

5. Practice with Remainders

Once they’re comfortable, introduce problems with remainders. For example, 847 ÷ 5 = 169 R2. The DMSB method works the same way — you just stop when there’s nothing left to bring down and write the remainder.

6. Make It Fun

Turn practice into a game. Use dice to create random division problems, or time them to see how fast they can solve a problem. Reward effort, not just correct answers.

Common Mistakes and How to Fix Them

  • Skipping Steps: Kids often try to do too much at once. Remind them to always follow DMSB in order.
  • Misaligning Digits: If numbers are crooked, subtraction gets messy. Use grid paper or draw lines.
  • Forgetting to Bring Down: This is the most common error. Have them say “bring down” out loud each time.
  • Multiplication Errors: Weak times tables slow things down. Practice multiplication facts separately until they’re automatic.

When to Move On

Once your child can solve problems like 845 ÷ 5 without help, try:

  • Larger numbers (e.g., 4,832 ÷ 7)
  • Three-digit divisors (e.g., 1,456 ÷ 12)
  • Decimals (e.g., 45.6 ÷ 3)

Each step builds on the same DMSB foundation, so they’ll feel ready for the challenge.

A Final Word of Encouragement

Learning how to do long division takes time. Some kids pick it up quickly; others need more practice. That’s completely normal. Celebrate small victories — like getting the first digit right or finishing a problem without help. With your support and this simple method, your child will master long division and feel proud of their accomplishment.

Remember: every mathematician started where your child is now. You’ve got this!

---

Ready to make math practice easier and more fun? Try LessonBunny free — our interactive platform helps kids build confidence in long division and other math skills with step-by-step guidance and engaging activities.