Long division practice worksheet with 4-digit by 2-digit problems.
Worksheet titled "Long Division (4 Digits by 2 Digits) No. 5" with six division problems, featuring a purple octopus illustration and MathCenter logo.
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Step-by-step solution for: Long division of 4 digit numbers by 2 digits No.5 | Worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: Long division of 4 digit numbers by 2 digits No.5 | Worksheets ...
It looks like you've uploaded a worksheet titled "LONG DIVISION (4 DIGITS BY 2 DIGITS) NO.5" from MathCenter, which contains several long division problems. Each problem is structured as:
```
_____
divisor ) dividend
```
The problems are:
1. 54 ÷ 6,912
2. 48 ÷ 6,912
3. 36 ÷ 6,912
4. 64 ÷ 6,912
5. 16 ÷ 6,912
6. 18 ÷ 6,912
7. 24 ÷ 6,912
8. 32 ÷ 6,912
Wait — there's an issue here: the format seems reversed.
In standard long division notation, the dividend is inside the division bracket and the divisor is outside. But in these problems, the numbers like 6,912 are written *inside* the bracket, and smaller numbers like 54, 48, etc., are outside — which would imply that the divisor is 54, and the dividend is 6,912.
So let’s interpret each problem correctly:
We are dividing 6,912 by a two-digit number (like 54, 48, etc.).
Let’s solve each one step by step using long division.
---
We divide 6,912 by 54.
Step-by-step:
1. How many times does 54 go into 69? → 1 time (54 × 1 = 54)
2. Subtract: 69 - 54 = 15
3. Bring down 1 → 151
4. How many times does 54 go into 151? → 2 times (54 × 2 = 108)
5. Subtract: 151 - 108 = 43
6. Bring down 2 → 432
7. How many times does 54 go into 432? → 8 times (54 × 8 = 432)
8. Subtract: 432 - 432 = 0
✔ So, 6,912 ÷ 54 = 128
---
1. 48 goes into 69 → 1 time (48 × 1 = 48), subtract: 69 - 48 = 21
2. Bring down 1 → 211
3. 48 into 211 → 4 times (48 × 4 = 192), subtract: 211 - 192 = 19
4. Bring down 2 → 192
5. 48 into 192 → 4 times (48 × 4 = 192), subtract: 0
✔ So, 6,912 ÷ 48 = 144
---
1. 36 into 69 → 1 time (36 × 1 = 36), subtract: 69 - 36 = 33
2. Bring down 1 → 331
3. 36 into 331 → 9 times (36 × 9 = 324), subtract: 331 - 324 = 7
4. Bring down 2 → 72
5. 36 into 72 → 2 times (36 × 2 = 72), subtract: 0
✔ So, 6,912 ÷ 36 = 192
---
1. 64 into 69 → 1 time (64 × 1 = 64), subtract: 69 - 64 = 5
2. Bring down 1 → 51
3. 64 into 51 → 0 times → write 0
4. Bring down 2 → 512
5. 64 into 512 → 8 times (64 × 8 = 512), subtract: 0
✔ So, 6,912 ÷ 64 = 108
---
1. 16 into 69 → 4 times (16 × 4 = 64), subtract: 69 - 64 = 5
2. Bring down 1 → 51
3. 16 into 51 → 3 times (16 × 3 = 48), subtract: 51 - 48 = 3
4. Bring down 2 → 32
5. 16 into 32 → 2 times (16 × 2 = 32), subtract: 0
✔ So, 6,912 ÷ 16 = 432
---
1. 18 into 69 → 3 times (18 × 3 = 54), subtract: 69 - 54 = 15
2. Bring down 1 → 151
3. 18 into 151 → 8 times (18 × 8 = 144), subtract: 151 - 144 = 7
4. Bring down 2 → 72
5. 18 into 72 → 4 times (18 × 4 = 72), subtract: 0
✔ So, 6,912 ÷ 18 = 384
---
1. 24 into 69 → 2 times (24 × 2 = 48), subtract: 69 - 48 = 21
2. Bring down 1 → 211
3. 24 into 211 → 8 times (24 × 8 = 192), subtract: 211 - 192 = 19
4. Bring down 2 → 192
5. 24 into 192 → 8 times (24 × 8 = 192), subtract: 0
✔ So, 6,912 ÷ 24 = 288
---
1. 32 into 69 → 2 times (32 × 2 = 64), subtract: 69 - 64 = 5
2. Bring down 1 → 51
3. 32 into 51 → 1 time (32 × 1 = 32), subtract: 51 - 32 = 19
4. Bring down 2 → 192
5. 32 into 192 → 6 times (32 × 6 = 192), subtract: 0
✔ So, 6,912 ÷ 32 = 216
---
| Problem | Division | Answer |
|--------|------------------|--------|
| 1 | 6,912 ÷ 54 | 128 |
| 2 | 6,912 ÷ 48 | 144 |
| 3 | 6,912 ÷ 36 | 192 |
| 4 | 6,912 ÷ 64 | 108 |
| 5 | 6,912 ÷ 16 | 432 |
| 6 | 6,912 ÷ 18 | 384 |
| 7 | 6,912 ÷ 24 | 288 |
| 8 | 6,912 ÷ 32 | 216 |
---
All problems involve dividing 6,912 by various two-digit divisors. The key steps in long division are:
- Divide
- Multiply
- Subtract
- Bring down
- Repeat
These answers can be filled into the blank boxes on the worksheet.
Let me know if you'd like a printable version or visual steps for any specific problem!
```
_____
divisor ) dividend
```
The problems are:
1. 54 ÷ 6,912
2. 48 ÷ 6,912
3. 36 ÷ 6,912
4. 64 ÷ 6,912
5. 16 ÷ 6,912
6. 18 ÷ 6,912
7. 24 ÷ 6,912
8. 32 ÷ 6,912
Wait — there's an issue here: the format seems reversed.
In standard long division notation, the dividend is inside the division bracket and the divisor is outside. But in these problems, the numbers like 6,912 are written *inside* the bracket, and smaller numbers like 54, 48, etc., are outside — which would imply that the divisor is 54, and the dividend is 6,912.
So let’s interpret each problem correctly:
Corrected Problems:
We are dividing 6,912 by a two-digit number (like 54, 48, etc.).
Let’s solve each one step by step using long division.
---
🔢 Problem 1: 6,912 ÷ 54
We divide 6,912 by 54.
Step-by-step:
1. How many times does 54 go into 69? → 1 time (54 × 1 = 54)
2. Subtract: 69 - 54 = 15
3. Bring down 1 → 151
4. How many times does 54 go into 151? → 2 times (54 × 2 = 108)
5. Subtract: 151 - 108 = 43
6. Bring down 2 → 432
7. How many times does 54 go into 432? → 8 times (54 × 8 = 432)
8. Subtract: 432 - 432 = 0
✔ So, 6,912 ÷ 54 = 128
---
🔢 Problem 2: 6,912 ÷ 48
1. 48 goes into 69 → 1 time (48 × 1 = 48), subtract: 69 - 48 = 21
2. Bring down 1 → 211
3. 48 into 211 → 4 times (48 × 4 = 192), subtract: 211 - 192 = 19
4. Bring down 2 → 192
5. 48 into 192 → 4 times (48 × 4 = 192), subtract: 0
✔ So, 6,912 ÷ 48 = 144
---
🔢 Problem 3: 6,912 ÷ 36
1. 36 into 69 → 1 time (36 × 1 = 36), subtract: 69 - 36 = 33
2. Bring down 1 → 331
3. 36 into 331 → 9 times (36 × 9 = 324), subtract: 331 - 324 = 7
4. Bring down 2 → 72
5. 36 into 72 → 2 times (36 × 2 = 72), subtract: 0
✔ So, 6,912 ÷ 36 = 192
---
🔢 Problem 4: 6,912 ÷ 64
1. 64 into 69 → 1 time (64 × 1 = 64), subtract: 69 - 64 = 5
2. Bring down 1 → 51
3. 64 into 51 → 0 times → write 0
4. Bring down 2 → 512
5. 64 into 512 → 8 times (64 × 8 = 512), subtract: 0
✔ So, 6,912 ÷ 64 = 108
---
🔢 Problem 5: 6,912 ÷ 16
1. 16 into 69 → 4 times (16 × 4 = 64), subtract: 69 - 64 = 5
2. Bring down 1 → 51
3. 16 into 51 → 3 times (16 × 3 = 48), subtract: 51 - 48 = 3
4. Bring down 2 → 32
5. 16 into 32 → 2 times (16 × 2 = 32), subtract: 0
✔ So, 6,912 ÷ 16 = 432
---
🔢 Problem 6: 6,912 ÷ 18
1. 18 into 69 → 3 times (18 × 3 = 54), subtract: 69 - 54 = 15
2. Bring down 1 → 151
3. 18 into 151 → 8 times (18 × 8 = 144), subtract: 151 - 144 = 7
4. Bring down 2 → 72
5. 18 into 72 → 4 times (18 × 4 = 72), subtract: 0
✔ So, 6,912 ÷ 18 = 384
---
🔢 Problem 7: 6,912 ÷ 24
1. 24 into 69 → 2 times (24 × 2 = 48), subtract: 69 - 48 = 21
2. Bring down 1 → 211
3. 24 into 211 → 8 times (24 × 8 = 192), subtract: 211 - 192 = 19
4. Bring down 2 → 192
5. 24 into 192 → 8 times (24 × 8 = 192), subtract: 0
✔ So, 6,912 ÷ 24 = 288
---
🔢 Problem 8: 6,912 ÷ 32
1. 32 into 69 → 2 times (32 × 2 = 64), subtract: 69 - 64 = 5
2. Bring down 1 → 51
3. 32 into 51 → 1 time (32 × 1 = 32), subtract: 51 - 32 = 19
4. Bring down 2 → 192
5. 32 into 192 → 6 times (32 × 6 = 192), subtract: 0
✔ So, 6,912 ÷ 32 = 216
---
✔ Final Answers:
| Problem | Division | Answer |
|--------|------------------|--------|
| 1 | 6,912 ÷ 54 | 128 |
| 2 | 6,912 ÷ 48 | 144 |
| 3 | 6,912 ÷ 36 | 192 |
| 4 | 6,912 ÷ 64 | 108 |
| 5 | 6,912 ÷ 16 | 432 |
| 6 | 6,912 ÷ 18 | 384 |
| 7 | 6,912 ÷ 24 | 288 |
| 8 | 6,912 ÷ 32 | 216 |
---
📝 Summary:
All problems involve dividing 6,912 by various two-digit divisors. The key steps in long division are:
- Divide
- Multiply
- Subtract
- Bring down
- Repeat
These answers can be filled into the blank boxes on the worksheet.
Let me know if you'd like a printable version or visual steps for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of 4 digit by 2 digit division worksheet.