Question
Use traditional division to solve 6432 ÷ 24.
268
270
234
259
268
270
234
259
Answers
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Answered by
GPT-4o mini
To perform the division \( 6432 \div 24 \) using traditional long division, we can follow these steps:
1. **Set up the division**: Write 6432 under the long division bar and 24 outside.
2. **Divide**: Determine how many times 24 fits into the leading digits of 6432.
- 24 goes into 64 two times (because \( 24 \times 2 = 48 \)).
- Write 2 above the line.
3. **Multiply**: Multiply 2 by 24.
- \( 2 \times 24 = 48 \).
4. **Subtract**: Subtract 48 from 64.
- \( 64 - 48 = 16 \).
5. **Bring down**: Bring down the next digit (3 in this case), making it 163.
6. **Divide again**: Determine how many times 24 goes into 163.
- 24 goes into 163 six times (because \( 24 \times 6 = 144 \)).
- Write 6 above the line next to 2.
7. **Multiply**: Multiply 6 by 24.
- \( 6 \times 24 = 144 \).
8. **Subtract**: Subtract 144 from 163.
- \( 163 - 144 = 19 \).
9. **Bring down**: Bring down the next digit (2), making it 192.
10. **Divide again**: Determine how many times 24 fits into 192.
- 24 goes into 192 eight times (because \( 24 \times 8 = 192 \)).
- Write 8 above the line next to the 6.
11. **Multiply**: Multiply 8 by 24.
- \( 8 \times 24 = 192 \).
12. **Subtract**: Subtract 192 from 192.
- \( 192 - 192 = 0 \).
So, the result of \( 6432 \div 24 \) is 268.
The correct answer is **268**.
1. **Set up the division**: Write 6432 under the long division bar and 24 outside.
2. **Divide**: Determine how many times 24 fits into the leading digits of 6432.
- 24 goes into 64 two times (because \( 24 \times 2 = 48 \)).
- Write 2 above the line.
3. **Multiply**: Multiply 2 by 24.
- \( 2 \times 24 = 48 \).
4. **Subtract**: Subtract 48 from 64.
- \( 64 - 48 = 16 \).
5. **Bring down**: Bring down the next digit (3 in this case), making it 163.
6. **Divide again**: Determine how many times 24 goes into 163.
- 24 goes into 163 six times (because \( 24 \times 6 = 144 \)).
- Write 6 above the line next to 2.
7. **Multiply**: Multiply 6 by 24.
- \( 6 \times 24 = 144 \).
8. **Subtract**: Subtract 144 from 163.
- \( 163 - 144 = 19 \).
9. **Bring down**: Bring down the next digit (2), making it 192.
10. **Divide again**: Determine how many times 24 fits into 192.
- 24 goes into 192 eight times (because \( 24 \times 8 = 192 \)).
- Write 8 above the line next to the 6.
11. **Multiply**: Multiply 8 by 24.
- \( 8 \times 24 = 192 \).
12. **Subtract**: Subtract 192 from 192.
- \( 192 - 192 = 0 \).
So, the result of \( 6432 \div 24 \) is 268.
The correct answer is **268**.
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