Let’s solve each division problem step by step. We’ll go one at a time and check our work carefully.
---
1. 400 ÷ 5
Think: How many times does 5 go into 400?
We know:
- 5 × 80 = 400
✔ So,
400 ÷ 5 = 80
---
2. 819 ÷ 7
Let’s divide step by step:
- 7 goes into 8 once → write 1
- 1 × 7 = 7 → subtract from 8 → remainder 1
- Bring down 1 → makes 11
- 7 goes into 11 once → write 1
- 1 × 7 = 7 → subtract → remainder 4
- Bring down 9 → makes 49
- 7 goes into 49 seven times → write 7
- 7 × 7 = 49 → subtract → 0
So,
819 ÷ 7 = 117
Check: 7 × 117 = 819
✔
---
3. 904 ÷ 9
Divide:
- 9 goes into 9 once → write 1
- 1 × 9 = 9 → subtract → 0
- Bring down 0 → 0
- 9 goes into 0 zero times → write 0
- Bring down 4 → 4
- 9 goes into 4 zero times → remainder 4
So,
904 ÷ 9 = 100 R4 (or as decimal ≈ 100.44… but since it’s whole number division, we leave remainder)
But let’s double-check:
9 × 100 = 900 → 904 - 900 = 4 → yes, remainder 4.
✔ Answer:
100 with remainder 4
*(Note: In elementary worksheets like this, sometimes they expect just the quotient and remainder, not decimals.)*
---
4. 166 ÷ 5
Divide:
- 5 goes into 16 three times → 3 × 5 = 15 → subtract → 1
- Bring down 6 → 16
- 5 goes into 16 three times → 3 × 5 = 15 → subtract → 1
So,
166 ÷ 5 = 33 R1
Check: 5 × 33 = 165 → 166 - 165 = 1
✔
---
5. 160 ÷ 4
Easy one:
- 4 × 40 = 160
✔ So,
160 ÷ 4 = 40
---
6. 128 ÷ 8
Think: 8 × ? = 128
Try 8 × 16 = 128
✔ So,
128 ÷ 8 = 16
---
7. 761 ÷ 6
Divide:
- 6 goes into 7 once → 1 × 6 = 6 → subtract → 1
- Bring down 6 → 16
- 6 goes into 16 twice → 2 × 6 = 12 → subtract → 4
- Bring down 1 → 41
- 6 goes into 41 six times → 6 × 6 = 36 → subtract → 5
So,
761 ÷ 6 = 126 R5
Check: 6 × 126 = 756 → 761 - 756 = 5
✔
---
8. 161 ÷ 7
Divide:
- 7 goes into 16 twice → 2 × 7 = 14 → subtract → 2
- Bring down 1 → 21
- 7 goes into 21 three times → 3 × 7 = 21 → subtract → 0
✔ So,
161 ÷ 7 = 23
---
9. 135 ÷ 5
Think: 5 × 27 = 135
Or divide:
- 5 into 13 → 2 → 2×5=10 → subtract → 3
- Bring down 5 → 35
- 5 into 35 → 7 → 7×5=35 → 0
✔ So,
135 ÷ 5 = 27
---
10. 163 ÷ 6
Divide:
- 6 into 16 → 2 → 2×6=12 → subtract → 4
- Bring down 3 → 43
- 6 into 43 → 7 → 7×6=42 → subtract → 1
✔ So,
163 ÷ 6 = 27 R1
Check: 6 × 27 = 162 → 163 - 162 = 1
✔
---
11. 201 ÷ 3
Think: 3 × 67 = 201
Or divide:
- 3 into 20 → 6 → 6×3=18 → subtract → 2
- Bring down 1 → 21
- 3 into 21 → 7 → 7×3=21 → 0
✔ So,
201 ÷ 3 = 67
---
12. 162 ÷ 6
Think: 6 × 27 = 162
Or divide:
- 6 into 16 → 2 → 2×6=12 → subtract → 4
- Bring down 2 → 42
- 6 into 42 → 7 → 7×6=42 → 0
✔ So,
162 ÷ 6 = 27
---
Now, let’s list all answers clearly:
Final Answer:
400 ÷ 5 = 80
819 ÷ 7 = 117
904 ÷ 9 = 100 R4
166 ÷ 5 = 33 R1
160 ÷ 4 = 40
128 ÷ 8 = 16
761 ÷ 6 = 126 R5
161 ÷ 7 = 23
135 ÷ 5 = 27
163 ÷ 6 = 27 R1
201 ÷ 3 = 67
162 ÷ 6 = 27
Parent Tip: Review the logic above to help your child master the concept of long division worksheet 5th grade.
