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Long Division with a Grid (A) worksheet for practicing division problems using a structured grid format.

Long division problems with a grid for solving, featuring six division exercises with three-digit dividends and single-digit divisors, designed for educational practice.

Long division problems with a grid for solving, featuring six division exercises with three-digit dividends and single-digit divisors, designed for educational practice.

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Show Answer Key & Explanations Step-by-step solution for: 3-Digit by 1-Digit Long Division with Remainders with Grid ...
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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.

---

1. 311 ÷ 6



```
51
------
6 | 311
-30
---
11
- 6
---
5
```

- 6 goes into 31 five times (6 × 5 = 30)
- Subtract: 31 - 30 = 1
- Bring down 1 → 11
- 6 goes into 11 once (6 × 1 = 6)
- Subtract: 11 - 6 = 5

Quotient: 51, Remainder: 5

---

2. 888 ÷ 4



```
222
------
4 | 888
-8
---
08
- 8
---
08
- 8
---
0
```

- 4 goes into 8 two times → 4 × 2 = 8
- Subtract: 8 - 8 = 0
- Bring down 8 → 08
- 4 goes into 8 two times → 4 × 2 = 8
- Subtract: 8 - 8 = 0
- Bring down 8 → 08
- 4 goes into 8 two times → 4 × 2 = 8
- Subtract: 8 - 8 = 0

Quotient: 222, Remainder: 0

---

3. 676 ÷ 5



```
135
------
5 | 676
-5
---
17
-15
---
26
-25
---
1
```

- 5 goes into 6 one time → 5 × 1 = 5
- Subtract: 6 - 5 = 1
- Bring down 7 → 17
- 5 goes into 17 three times → 5 × 3 = 15
- Subtract: 17 - 15 = 2
- Bring down 6 → 26
- 5 goes into 26 five times → 5 × 5 = 25
- Subtract: 26 - 25 = 1

Quotient: 135, Remainder: 1

---

4. 668 ÷ 2



```
334
------
2 | 668
-6
---
06
- 6
---
08
- 8
---
0
```

- 2 goes into 6 three times → 2 × 3 = 6
- Subtract: 6 - 6 = 0
- Bring down 6 → 06
- 2 goes into 6 three times → 2 × 3 = 6
- Subtract: 6 - 6 = 0
- Bring down 8 → 08
- 2 goes into 8 four times → 2 × 4 = 8
- Subtract: 8 - 8 = 0

Quotient: 334, Remainder: 0

---

5. 556 ÷ 4



```
139
------
4 | 556
-4
---
15
-12
---
36
-36
---
0
```

- 4 goes into 5 one time → 4 × 1 = 4
- Subtract: 5 - 4 = 1
- Bring down 5 → 15
- 4 goes into 15 three times → 4 × 3 = 12
- Subtract: 15 - 12 = 3
- Bring down 6 → 36
- 4 goes into 36 nine times → 4 × 9 = 36
- Subtract: 36 - 36 = 0

Quotient: 139, Remainder: 0

---

6. 563 ÷ 3



```
187
------
3 | 563
-3
---
26
-24
---
23
-21
---
2
```

- 3 goes into 5 one time → 3 × 1 = 3
- Subtract: 5 - 3 = 2
- Bring down 6 → 26
- 3 goes into 26 eight times → 3 × 8 = 24
- Subtract: 26 - 24 = 2
- Bring down 3 → 23
- 3 goes into 23 seven times → 3 × 7 = 21
- Subtract: 23 - 21 = 2

Quotient: 187, Remainder: 2

---

7. 434 ÷ 3



```
144
------
3 | 434
-3
---
13
-12
---
14
-12
---
2
```

- 3 goes into 4 one time → 3 × 1 = 3
- Subtract: 4 - 3 = 1
- Bring down 3 → 13
- 3 goes into 13 four times → 3 × 4 = 12
- Subtract: 13 - 12 = 1
- Bring down 4 → 14
- 3 goes into 14 four times → 3 × 4 = 12
- Subtract: 14 - 12 = 2

Quotient: 144, Remainder: 2

---

8. 151 ÷ 5



```
30
------
5 | 151
-15
---
01
- 0
---
1
```

- 5 goes into 15 three times → 5 × 3 = 15
- Subtract: 15 - 15 = 0
- Bring down 1 → 01
- 5 goes into 1 zero times → 5 × 0 = 0
- Subtract: 1 - 0 = 1

Quotient: 30, Remainder: 1

---

✔ Final Answers:



| Problem | Quotient | Remainder |
|--------|----------|-----------|
| 311 ÷ 6 | 51 | 5 |
| 888 ÷ 4 | 222 | 0 |
| 676 ÷ 5 | 135 | 1 |
| 668 ÷ 2 | 334 | 0 |
| 556 ÷ 4 | 139 | 0 |
| 563 ÷ 3 | 187 | 2 |
| 434 ÷ 3 | 144 | 2 |
| 151 ÷ 5 | 30 | 1 |

You can now fill in the grids accordingly, writing the quotient on top and showing each subtraction step as shown above.

Let me know if you'd like a printable version or visual grid completion!
Parent Tip: Review the logic above to help your child master the concept of long division worksheet 3 digit by 1 digit.
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