This worksheet provides a structured grid to help students keep their numbers aligned while solving long division problems.
Long division worksheet with a grid layout featuring six practice problems for students.
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Show Answer Key & Explanations
Step-by-step solution for: 5-Digit by 2-Digit Long Division with Grid Assistance and Prompts ...
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Show Answer Key & Explanations
Step-by-step solution for: 5-Digit by 2-Digit Long Division with Grid Assistance and Prompts ...
Let's solve each of the long division problems step by step using the grid format provided. We'll calculate the quotient for each problem and show the steps clearly.
---
We divide 28,464 by 16.
Step-by-step:
1. Divide 28 ÷ 16 → 1
- 16 × 1 = 16
- Subtract: 28 − 16 = 12
- Bring down 4 → 124
2. Divide 124 ÷ 16 → 7
- 16 × 7 = 112
- Subtract: 124 − 112 = 12
- Bring down 6 → 126
3. Divide 126 ÷ 16 → 7
- 16 × 7 = 112
- Subtract: 126 − 112 = 14
- Bring down 4 → 144
4. Divide 144 ÷ 16 → 9
- 16 × 9 = 144
- Subtract: 144 − 144 = 0
✔ Quotient: 1,779
```
1 7 7 9
___________
16 | 2 8 4 6 4
- 1 6
-----
1 2 4
- 1 1 2
-------
1 2 6
- 1 1 2
-------
1 4 4
- 1 4 4
-------
0
```
---
Divide 12,284 by 74.
1. Divide 122 ÷ 74 → 1
- 74 × 1 = 74
- Subtract: 122 − 74 = 48
- Bring down 8 → 488
2. Divide 488 ÷ 74 → 6
- 74 × 6 = 444
- Subtract: 488 − 444 = 44
- Bring down 4 → 444
3. Divide 444 ÷ 74 → 6
- 74 × 6 = 444
- Subtract: 444 − 444 = 0
✔ Quotient: 166
```
1 6 6
_________
74 | 1 2 2 8 4
- 7 4
-----
4 8 8
- 4 4 4
-------
4 4 4
- 4 4 4
-------
0
```
---
Divide 74,505 by 15.
1. Divide 74 ÷ 15 → 4
- 15 × 4 = 60
- Subtract: 74 − 60 = 14
- Bring down 5 → 145
2. Divide 145 ÷ 15 → 9
- 15 × 9 = 135
- Subtract: 145 − 135 = 10
- Bring down 0 → 100
3. Divide 100 ÷ 15 → 6
- 15 × 6 = 90
- Subtract: 100 − 90 = 10
- Bring down 5 → 105
4. Divide 105 ÷ 15 → 7
- 15 × 7 = 105
- Subtract: 105 − 105 = 0
✔ Quotient: 4,967
```
4 9 6 7
___________
15 | 7 4 5 0 5
- 6 0
-----
1 4 5
- 1 3 5
-------
1 0 0
- 9 0
-------
1 0 5
- 1 0 5
-------
0
```
---
Divide 34,524 by 63.
1. Divide 345 ÷ 63 → 5
- 63 × 5 = 315
- Subtract: 345 − 315 = 30
- Bring down 2 → 302
2. Divide 302 ÷ 63 → 4
- 63 × 4 = 252
- Subtract: 302 − 252 = 50
- Bring down 4 → 504
3. Divide 504 ÷ 63 → 8
- 63 × 8 = 504
- Subtract: 504 − 504 = 0
✔ Quotient: 548
```
5 4 8
_________
63 | 3 4 5 2 4
- 3 1 5
-------
3 0 2
- 2 5 2
-------
5 0 4
- 5 0 4
-------
0
```
---
Divide 88,682 by 58.
1. Divide 88 ÷ 58 → 1
- 58 × 1 = 58
- Subtract: 88 − 58 = 30
- Bring down 6 → 306
2. Divide 306 ÷ 58 → 5
- 58 × 5 = 290
- Subtract: 306 − 290 = 16
- Bring down 8 → 168
3. Divide 168 ÷ 58 → 2
- 58 × 2 = 116
- Subtract: 168 − 116 = 52
- Bring down 2 → 522
4. Divide 522 ÷ 58 → 9
- 58 × 9 = 522
- Subtract: 522 − 522 = 0
✔ Quotient: 1,529
```
1 5 2 9
___________
58 | 8 8 6 8 2
- 5 8
-----
3 0 6
- 2 9 0
-------
1 6 8
- 1 1 6
-------
5 2 2
- 5 2 2
-------
0
```
---
Divide 58,680 by 72.
1. Divide 586 ÷ 72 → 8
- 72 × 8 = 576
- Subtract: 586 − 576 = 10
- Bring down 8 → 108
2. Divide 108 ÷ 72 → 1
- 72 × 1 = 72
- Subtract: 108 − 72 = 36
- Bring down 0 → 360
3. Divide 360 ÷ 72 → 5
- 72 × 5 = 360
- Subtract: 360 − 360 = 0
✔ Quotient: 815
```
8 1 5
_________
72 | 5 8 6 8 0
- 5 7 6
-------
1 0 8
- 7 2
-----
3 6 0
- 3 6 0
-------
0
```
---
| Problem | Division | Quotient |
|--------|----------|---------|
| 1 | 28,464 ÷ 16 | 1,779 |
| 2 | 12,284 ÷ 74 | 166 |
| 3 | 74,505 ÷ 15 | 4,967 |
| 4 | 34,524 ÷ 63 | 548 |
| 5 | 88,682 ÷ 58 | 1,529 |
| 6 | 58,680 ÷ 72 | 815 |
You can now fill these quotients into the grids on the worksheet accordingly. Each step follows standard long division with subtraction and bringing down digits as shown. Let me know if you'd like a printable version or visual layout!
---
Problem 1: 28,464 ÷ 16
We divide 28,464 by 16.
Step-by-step:
1. Divide 28 ÷ 16 → 1
- 16 × 1 = 16
- Subtract: 28 − 16 = 12
- Bring down 4 → 124
2. Divide 124 ÷ 16 → 7
- 16 × 7 = 112
- Subtract: 124 − 112 = 12
- Bring down 6 → 126
3. Divide 126 ÷ 16 → 7
- 16 × 7 = 112
- Subtract: 126 − 112 = 14
- Bring down 4 → 144
4. Divide 144 ÷ 16 → 9
- 16 × 9 = 144
- Subtract: 144 − 144 = 0
✔ Quotient: 1,779
```
1 7 7 9
___________
16 | 2 8 4 6 4
- 1 6
-----
1 2 4
- 1 1 2
-------
1 2 6
- 1 1 2
-------
1 4 4
- 1 4 4
-------
0
```
---
Problem 2: 12,284 ÷ 74
Divide 12,284 by 74.
1. Divide 122 ÷ 74 → 1
- 74 × 1 = 74
- Subtract: 122 − 74 = 48
- Bring down 8 → 488
2. Divide 488 ÷ 74 → 6
- 74 × 6 = 444
- Subtract: 488 − 444 = 44
- Bring down 4 → 444
3. Divide 444 ÷ 74 → 6
- 74 × 6 = 444
- Subtract: 444 − 444 = 0
✔ Quotient: 166
```
1 6 6
_________
74 | 1 2 2 8 4
- 7 4
-----
4 8 8
- 4 4 4
-------
4 4 4
- 4 4 4
-------
0
```
---
Problem 3: 74,505 ÷ 15
Divide 74,505 by 15.
1. Divide 74 ÷ 15 → 4
- 15 × 4 = 60
- Subtract: 74 − 60 = 14
- Bring down 5 → 145
2. Divide 145 ÷ 15 → 9
- 15 × 9 = 135
- Subtract: 145 − 135 = 10
- Bring down 0 → 100
3. Divide 100 ÷ 15 → 6
- 15 × 6 = 90
- Subtract: 100 − 90 = 10
- Bring down 5 → 105
4. Divide 105 ÷ 15 → 7
- 15 × 7 = 105
- Subtract: 105 − 105 = 0
✔ Quotient: 4,967
```
4 9 6 7
___________
15 | 7 4 5 0 5
- 6 0
-----
1 4 5
- 1 3 5
-------
1 0 0
- 9 0
-------
1 0 5
- 1 0 5
-------
0
```
---
Problem 4: 34,524 ÷ 63
Divide 34,524 by 63.
1. Divide 345 ÷ 63 → 5
- 63 × 5 = 315
- Subtract: 345 − 315 = 30
- Bring down 2 → 302
2. Divide 302 ÷ 63 → 4
- 63 × 4 = 252
- Subtract: 302 − 252 = 50
- Bring down 4 → 504
3. Divide 504 ÷ 63 → 8
- 63 × 8 = 504
- Subtract: 504 − 504 = 0
✔ Quotient: 548
```
5 4 8
_________
63 | 3 4 5 2 4
- 3 1 5
-------
3 0 2
- 2 5 2
-------
5 0 4
- 5 0 4
-------
0
```
---
Problem 5: 88,682 ÷ 58
Divide 88,682 by 58.
1. Divide 88 ÷ 58 → 1
- 58 × 1 = 58
- Subtract: 88 − 58 = 30
- Bring down 6 → 306
2. Divide 306 ÷ 58 → 5
- 58 × 5 = 290
- Subtract: 306 − 290 = 16
- Bring down 8 → 168
3. Divide 168 ÷ 58 → 2
- 58 × 2 = 116
- Subtract: 168 − 116 = 52
- Bring down 2 → 522
4. Divide 522 ÷ 58 → 9
- 58 × 9 = 522
- Subtract: 522 − 522 = 0
✔ Quotient: 1,529
```
1 5 2 9
___________
58 | 8 8 6 8 2
- 5 8
-----
3 0 6
- 2 9 0
-------
1 6 8
- 1 1 6
-------
5 2 2
- 5 2 2
-------
0
```
---
Problem 6: 58,680 ÷ 72
Divide 58,680 by 72.
1. Divide 586 ÷ 72 → 8
- 72 × 8 = 576
- Subtract: 586 − 576 = 10
- Bring down 8 → 108
2. Divide 108 ÷ 72 → 1
- 72 × 1 = 72
- Subtract: 108 − 72 = 36
- Bring down 0 → 360
3. Divide 360 ÷ 72 → 5
- 72 × 5 = 360
- Subtract: 360 − 360 = 0
✔ Quotient: 815
```
8 1 5
_________
72 | 5 8 6 8 0
- 5 7 6
-------
1 0 8
- 7 2
-----
3 6 0
- 3 6 0
-------
0
```
---
✔ Final Answers:
| Problem | Division | Quotient |
|--------|----------|---------|
| 1 | 28,464 ÷ 16 | 1,779 |
| 2 | 12,284 ÷ 74 | 166 |
| 3 | 74,505 ÷ 15 | 4,967 |
| 4 | 34,524 ÷ 63 | 548 |
| 5 | 88,682 ÷ 58 | 1,529 |
| 6 | 58,680 ÷ 72 | 815 |
You can now fill these quotients into the grids on the worksheet accordingly. Each step follows standard long division with subtraction and bringing down digits as shown. Let me know if you'd like a printable version or visual layout!
Parent Tip: Review the logic above to help your child master the concept of long division worksheet 5th grade.