Grade 3 Long Division: 3-Digit Division with Remainders

Master long division with larger numbers and remainders

What You'll Learn

Solve 3-digit ÷ 1-digit problems with remainders
Check answers accurately
Build confidence with complex problems

Combining everything you've learned: 3-digit dividends with remainders. Remember to check your work!

💡Where this fits

Common Core teaches 3-digit division with remainders in grade 4 (4.NBT.B.6), so this lesson is a stretch for this grade. Grade 3 divides within 100 (3.OA.C.7). Try this once 3-digit long division and remainders both feel easy.

Worked examples

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

Example 1
931 ÷ 3 = ?
1. Use the partial quotients method.
2. How many 3s can you subtract from 931?
3. 3 × 100 = 300
4. 3 × 100 = 300
5. 3 × 100 = 300
6. 3 × 10 = 30
7. Add the quotients: 100 + 100 + 100 + 10 = 310
8. Remainder: 1
9. 931 ÷ 3 = 310 R1
Answer: 310 R1
Example 2
373 ÷ 4 = ?
1. Use the partial quotients method.
2. How many 4s can you subtract from 373?
3. 4 × 50 = 200
4. 4 × 20 = 80
5. 4 × 20 = 80
6. 4 × 2 = 8
7. 4 × 1 = 4
8. Add the quotients: 50 + 20 + 20 + 2 + 1 = 93
9. Remainder: 1
10. 373 ÷ 4 = 93 R1
Answer: 93 R1
Example 3
455 ÷ 3 = ?
1. Use the partial quotients method.
2. How many 3s can you subtract from 455?
3. 3 × 100 = 300
4. 3 × 50 = 150
5. 3 × 1 = 3
6. Add the quotients: 100 + 50 + 1 = 151
7. Remainder: 2
8. 455 ÷ 3 = 151 R2
Answer: 151 R2