Worksheet for practicing long division using a grid format.
Long division problems with grid lines for students to solve, labeled "Long Division with a Grid (A)" with spaces for name and date.
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Show Answer Key & Explanations
Step-by-step solution for: 2-Digit by 1-Digit Long Division with Grid Assistance and Prompts ...
▼
Show Answer Key & Explanations
Step-by-step solution for: 2-Digit by 1-Digit Long Division with Grid Assistance and Prompts ...
Let's solve each of the long division problems on the worksheet step by step. The goal is to calculate the quotient for each division problem using the grid format provided.
---
- 4 goes into 9 two times (2 × 4 = 8)
- Subtract: 9 - 8 = 1
- Bring down 7 → 17
- 4 goes into 17 four times (4 × 4 = 16)
- Subtract: 17 - 16 = 1
- Quotient: 24 R1
---
- 5 goes into 5 one time (1 × 5 = 5)
- Subtract: 5 - 5 = 0
- Bring down 3 → 3
- 5 goes into 3 zero times
- Quotient: 10 R3
---
- 6 goes into 7 one time (1 × 6 = 6)
- Subtract: 7 - 6 = 1
- Bring down 5 → 15
- 6 goes into 15 two times (2 × 6 = 12)
- Subtract: 15 - 12 = 3
- Quotient: 12 R3
---
- 2 goes into 7 three times (3 × 2 = 6)
- Subtract: 7 - 6 = 1
- Bring down 5 → 15
- 2 goes into 15 seven times (7 × 2 = 14)
- Subtract: 15 - 14 = 1
- Quotient: 37 R1
---
- 5 goes into 8 one time (1 × 5 = 5)
- Subtract: 8 - 5 = 3
- Bring down 9 → 39
- 5 goes into 39 seven times (7 × 5 = 35)
- Subtract: 39 - 35 = 4
- Quotient: 17 R4
---
- 2 goes into 4 two times (2 × 2 = 4)
- Subtract: 4 - 4 = 0
- Bring down 5 → 5
- 2 goes into 5 two times (2 × 2 = 4)
- Subtract: 5 - 4 = 1
- Quotient: 22 R1
---
- 5 goes into 9 one time (1 × 5 = 5)
- Subtract: 9 - 5 = 4
- Bring down 0 → 40
- 5 goes into 40 eight times (8 × 5 = 40)
- Subtract: 40 - 40 = 0
- Quotient: 18 R0
---
- 3 goes into 9 three times (3 × 3 = 9)
- Subtract: 9 - 9 = 0
- Bring down 2 → 2
- 3 goes into 2 zero times
- Quotient: 30 R2
---
- 7 goes into 7 one time (1 × 7 = 7)
- Subtract: 7 - 7 = 0
- Bring down 1 → 1
- 7 goes into 1 zero times
- Quotient: 10 R1
---
- 8 goes into 8 one time (1 × 8 = 8)
- Subtract: 8 - 8 = 0
- Bring down 4 → 4
- 8 goes into 4 zero times
- Quotient: 10 R4
---
- 6 goes into 8 one time (1 × 6 = 6)
- Subtract: 8 - 6 = 2
- Bring down 9 → 29
- 6 goes into 29 four times (4 × 6 = 24)
- Subtract: 29 - 24 = 5
- Quotient: 14 R5
---
- 4 goes into 6 one time (1 × 4 = 4)
- Subtract: 6 - 4 = 2
- Bring down 5 → 25
- 4 goes into 25 six times (6 × 4 = 24)
- Subtract: 25 - 24 = 1
- Quotient: 16 R1
---
- 2 goes into 9 four times (4 × 2 = 8)
- Subtract: 9 - 8 = 1
- Bring down 8 → 18
- 2 goes into 18 nine times (9 × 2 = 18)
- Subtract: 18 - 18 = 0
- Quotient: 49 R0
---
- 3 goes into 9 three times (3 × 3 = 9)
- Subtract: 9 - 9 = 0
- Bring down 1 → 1
- 3 goes into 1 zero times
- Quotient: 30 R1
---
- 7 goes into 8 one time (1 × 7 = 7)
- Subtract: 8 - 7 = 1
- Bring down 2 → 12
- 7 goes into 12 one time (1 × 7 = 7)
- Subtract: 12 - 7 = 5
- Quotient: 11 R5
---
- 3 goes into 7 two times (2 × 3 = 6)
- Subtract: 7 - 6 = 1
- Bring down 6 → 16
- 3 goes into 16 five times (5 × 3 = 15)
- Subtract: 16 - 15 = 1
- Quotient: 25 R1
---
- 9 goes into 9 one time (1 × 9 = 9)
- Subtract: 9 - 9 = 0
- Bring down 8 → 8
- 9 goes into 8 zero times
- Quotient: 10 R8
---
- 4 goes into 4 one time (1 × 4 = 4)
- Subtract: 4 - 4 = 0
- Bring down 3 → 3
- 4 goes into 3 zero times
- Quotient: 10 R3
---
- 2 goes into 4 two times (2 × 2 = 4)
- Subtract: 4 - 4 = 0
- Bring down 3 → 3
- 2 goes into 3 one time (1 × 2 = 2)
- Subtract: 3 - 2 = 1
- Quotient: 21 R1
---
- Same as #11 → Quotient: 14 R5
---
| Problem | Quotient |
|--------|----------|
| 97 ÷ 4 | 24 R1 |
| 53 ÷ 5 | 10 R3 |
| 75 ÷ 6 | 12 R3 |
| 75 ÷ 2 | 37 R1 |
| 89 ÷ 5 | 17 R4 |
| 45 ÷ 2 | 22 R1 |
| 90 ÷ 5 | 18 R0 |
| 92 ÷ 3 | 30 R2 |
| 71 ÷ 7 | 10 R1 |
| 84 ÷ 8 | 10 R4 |
| 89 ÷ 6 | 14 R5 |
| 65 ÷ 4 | 16 R1 |
| 98 ÷ 2 | 49 R0 |
| 91 ÷ 3 | 30 R1 |
| 82 ÷ 7 | 11 R5 |
| 76 ÷ 3 | 25 R1 |
| 98 ÷ 9 | 10 R8 |
| 43 ÷ 4 | 10 R3 |
| 43 ÷ 2 | 21 R1 |
| 89 ÷ 6 | 14 R5 |
---
Each grid has:
- Top row: Dividend (e.g., 97)
- Left side: Divisor (e.g., 4)
- Middle: Work space for subtraction steps
- Bottom: Quotient
For example, in 97 ÷ 4:
```
24
------
4 | 97
-8
---
17
-16
---
1
```
You write the quotient (24) above the dividend, and use the grid to track the subtraction steps.
Let me know if you'd like a printable version with answers filled in!
---
1. 97 ÷ 4
- 4 goes into 9 two times (2 × 4 = 8)
- Subtract: 9 - 8 = 1
- Bring down 7 → 17
- 4 goes into 17 four times (4 × 4 = 16)
- Subtract: 17 - 16 = 1
- Quotient: 24 R1
---
2. 53 ÷ 5
- 5 goes into 5 one time (1 × 5 = 5)
- Subtract: 5 - 5 = 0
- Bring down 3 → 3
- 5 goes into 3 zero times
- Quotient: 10 R3
---
3. 75 ÷ 6
- 6 goes into 7 one time (1 × 6 = 6)
- Subtract: 7 - 6 = 1
- Bring down 5 → 15
- 6 goes into 15 two times (2 × 6 = 12)
- Subtract: 15 - 12 = 3
- Quotient: 12 R3
---
4. 75 ÷ 2
- 2 goes into 7 three times (3 × 2 = 6)
- Subtract: 7 - 6 = 1
- Bring down 5 → 15
- 2 goes into 15 seven times (7 × 2 = 14)
- Subtract: 15 - 14 = 1
- Quotient: 37 R1
---
5. 89 ÷ 5
- 5 goes into 8 one time (1 × 5 = 5)
- Subtract: 8 - 5 = 3
- Bring down 9 → 39
- 5 goes into 39 seven times (7 × 5 = 35)
- Subtract: 39 - 35 = 4
- Quotient: 17 R4
---
6. 45 ÷ 2
- 2 goes into 4 two times (2 × 2 = 4)
- Subtract: 4 - 4 = 0
- Bring down 5 → 5
- 2 goes into 5 two times (2 × 2 = 4)
- Subtract: 5 - 4 = 1
- Quotient: 22 R1
---
7. 90 ÷ 5
- 5 goes into 9 one time (1 × 5 = 5)
- Subtract: 9 - 5 = 4
- Bring down 0 → 40
- 5 goes into 40 eight times (8 × 5 = 40)
- Subtract: 40 - 40 = 0
- Quotient: 18 R0
---
8. 92 ÷ 3
- 3 goes into 9 three times (3 × 3 = 9)
- Subtract: 9 - 9 = 0
- Bring down 2 → 2
- 3 goes into 2 zero times
- Quotient: 30 R2
---
9. 71 ÷ 7
- 7 goes into 7 one time (1 × 7 = 7)
- Subtract: 7 - 7 = 0
- Bring down 1 → 1
- 7 goes into 1 zero times
- Quotient: 10 R1
---
10. 84 ÷ 8
- 8 goes into 8 one time (1 × 8 = 8)
- Subtract: 8 - 8 = 0
- Bring down 4 → 4
- 8 goes into 4 zero times
- Quotient: 10 R4
---
11. 89 ÷ 6
- 6 goes into 8 one time (1 × 6 = 6)
- Subtract: 8 - 6 = 2
- Bring down 9 → 29
- 6 goes into 29 four times (4 × 6 = 24)
- Subtract: 29 - 24 = 5
- Quotient: 14 R5
---
12. 65 ÷ 4
- 4 goes into 6 one time (1 × 4 = 4)
- Subtract: 6 - 4 = 2
- Bring down 5 → 25
- 4 goes into 25 six times (6 × 4 = 24)
- Subtract: 25 - 24 = 1
- Quotient: 16 R1
---
13. 98 ÷ 2
- 2 goes into 9 four times (4 × 2 = 8)
- Subtract: 9 - 8 = 1
- Bring down 8 → 18
- 2 goes into 18 nine times (9 × 2 = 18)
- Subtract: 18 - 18 = 0
- Quotient: 49 R0
---
14. 91 ÷ 3
- 3 goes into 9 three times (3 × 3 = 9)
- Subtract: 9 - 9 = 0
- Bring down 1 → 1
- 3 goes into 1 zero times
- Quotient: 30 R1
---
15. 82 ÷ 7
- 7 goes into 8 one time (1 × 7 = 7)
- Subtract: 8 - 7 = 1
- Bring down 2 → 12
- 7 goes into 12 one time (1 × 7 = 7)
- Subtract: 12 - 7 = 5
- Quotient: 11 R5
---
16. 76 ÷ 3
- 3 goes into 7 two times (2 × 3 = 6)
- Subtract: 7 - 6 = 1
- Bring down 6 → 16
- 3 goes into 16 five times (5 × 3 = 15)
- Subtract: 16 - 15 = 1
- Quotient: 25 R1
---
17. 98 ÷ 9
- 9 goes into 9 one time (1 × 9 = 9)
- Subtract: 9 - 9 = 0
- Bring down 8 → 8
- 9 goes into 8 zero times
- Quotient: 10 R8
---
18. 43 ÷ 4
- 4 goes into 4 one time (1 × 4 = 4)
- Subtract: 4 - 4 = 0
- Bring down 3 → 3
- 4 goes into 3 zero times
- Quotient: 10 R3
---
19. 43 ÷ 2
- 2 goes into 4 two times (2 × 2 = 4)
- Subtract: 4 - 4 = 0
- Bring down 3 → 3
- 2 goes into 3 one time (1 × 2 = 2)
- Subtract: 3 - 2 = 1
- Quotient: 21 R1
---
20. 89 ÷ 6
- Same as #11 → Quotient: 14 R5
---
✔ Final Answers:
| Problem | Quotient |
|--------|----------|
| 97 ÷ 4 | 24 R1 |
| 53 ÷ 5 | 10 R3 |
| 75 ÷ 6 | 12 R3 |
| 75 ÷ 2 | 37 R1 |
| 89 ÷ 5 | 17 R4 |
| 45 ÷ 2 | 22 R1 |
| 90 ÷ 5 | 18 R0 |
| 92 ÷ 3 | 30 R2 |
| 71 ÷ 7 | 10 R1 |
| 84 ÷ 8 | 10 R4 |
| 89 ÷ 6 | 14 R5 |
| 65 ÷ 4 | 16 R1 |
| 98 ÷ 2 | 49 R0 |
| 91 ÷ 3 | 30 R1 |
| 82 ÷ 7 | 11 R5 |
| 76 ÷ 3 | 25 R1 |
| 98 ÷ 9 | 10 R8 |
| 43 ÷ 4 | 10 R3 |
| 43 ÷ 2 | 21 R1 |
| 89 ÷ 6 | 14 R5 |
---
🔍 How to Use the Grid:
Each grid has:
- Top row: Dividend (e.g., 97)
- Left side: Divisor (e.g., 4)
- Middle: Work space for subtraction steps
- Bottom: Quotient
For example, in 97 ÷ 4:
```
24
------
4 | 97
-8
---
17
-16
---
1
```
You write the quotient (24) above the dividend, and use the grid to track the subtraction steps.
Let me know if you'd like a printable version with answers filled in!
Parent Tip: Review the logic above to help your child master the concept of long division worksheet on graph paper.
