5-Digit by 2-Digit Long Division with Grid Assistance and Prompts ... - Free Printable

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.

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Problem 1: 28,464 ÷ 16

We divide 28,464 by 16.

Step-by-step:

1. 16 into 28: 1 time → write 1 above.
- 1 × 16 = 16
- 28 - 16 = 12
2. Bring down 4 → 124
3. 16 into 124: 7 times → 7 × 16 = 112
- 124 - 112 = 12
4. Bring down 6 → 126
5. 16 into 126: 7 times → 7 × 16 = 112
- 126 - 112 = 14
6. Bring down 4 → 144
7. 16 into 144: 9 times → 9 × 16 = 144
- 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
```

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Problem 2: 12,284 ÷ 74

Divide 12,284 by 74.

1. 74 into 122: 1 time → 1 × 74 = 74
- 122 - 74 = 48
2. Bring down 8 → 488
3. 74 into 488: 6 times → 6 × 74 = 444
- 488 - 444 = 44
4. Bring down 4 → 444
5. 74 into 444: 6 times → 6 × 74 = 444
- 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
```

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Problem 3: 74,505 ÷ 15

Divide 74,505 by 15.

1. 15 into 74: 4 times → 4 × 15 = 60
- 74 - 60 = 14
2. Bring down 5 → 145
3. 15 into 145: 9 times → 9 × 15 = 135
- 145 - 135 = 10
4. Bring down 0 → 100
5. 15 into 100: 6 times → 6 × 15 = 90
- 100 - 90 = 10
6. Bring down 5 → 105
7. 15 into 105: 7 times → 7 × 15 = 105
- 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
```

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Problem 4: 34,524 ÷ 63

Divide 34,524 by 63.

1. 63 into 345: 5 times → 5 × 63 = 315
- 345 - 315 = 30
2. Bring down 2 → 302
3. 63 into 302: 4 times → 4 × 63 = 252
- 302 - 252 = 50
4. Bring down 4 → 504
5. 63 into 504: 8 times → 8 × 63 = 504
- 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
```

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Problem 5: 88,682 ÷ 58

Divide 88,682 by 58.

1. 58 into 88: 1 time → 1 × 58 = 58
- 88 - 58 = 30
2. Bring down 6 → 306
3. 58 into 306: 5 times → 5 × 58 = 290
- 306 - 290 = 16
4. Bring down 8 → 168
5. 58 into 168: 2 times → 2 × 58 = 116
- 168 - 116 = 52
6. Bring down 2 → 522
7. 58 into 522: 9 times → 9 × 58 = 522
- 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
```

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Problem 6: 58,680 ÷ 72

Divide 58,680 by 72.

1. 72 into 586: 8 times → 8 × 72 = 576
- 586 - 576 = 10
2. Bring down 8 → 108
3. 72 into 108: 1 time → 1 × 72 = 72
- 108 - 72 = 36
4. Bring down 0 → 360
5. 72 into 360: 5 times → 5 × 72 = 360
- 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
```

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✔ 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 |

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You can now fill in the grids with these calculations and quotients. Each step is shown to help you understand the process. Let me know if you'd like a printable version or explanation for any specific step!