Grade 3 Long Division: Introduction to Long Division

Learn the long division format with 2-digit numbers

What You'll Learn

Set up a long division problem correctly
Understand the steps: Divide, Multiply, Subtract, Bring down
Solve 2-digit by 1-digit division without remainders

📖The Long Division Format

Long division uses a special format with a division bracket. The divisor goes outside, and the dividend goes inside. The answer (quotient) goes on top.

📖The Steps: DMSB

Remember DMSB: Divide, Multiply, Subtract, Bring down. Repeat these steps until you're done!

💡

Start by asking: How many times does the divisor fit into the first digit(s) of the dividend?

Worked examples

Real problems from the practice worksheets, solved one step at a time.

Example 1
70 ÷ 7 = ?
1. Use the partial quotients method.
2. How many 7s can you subtract from 70?
3. 7 × 10 = 70
4. Add the quotients: 10 = 10
5. 70 ÷ 7 = 10
Answer: 10
Example 2
80 ÷ 8 = ?
1. Use the partial quotients method.
2. How many 8s can you subtract from 80?
3. 8 × 10 = 80
4. Add the quotients: 10 = 10
5. 80 ÷ 8 = 10
Answer: 10
Example 3
74 ÷ 2 = ?
1. Use the partial quotients method.
2. How many 2s can you subtract from 74?
3. 2 × 20 = 40
4. 2 × 10 = 20
5. 2 × 5 = 10
6. 2 × 2 = 4
7. Add the quotients: 20 + 10 + 5 + 2 = 37
8. 74 ÷ 2 = 37
Answer: 37