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Use traditional division to solve 6432 ÷ 24.

268

270

234

259

1 answer

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.