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