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Solve the long division problem 8234656 / 17.

Mathematics

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Answer

484391 R 9484391 \text{ R } 9

Step-by-step solution

6 steps

To solve the long division problem 823465617\frac{8234656}{17}:

  1. Divide 82 by 17.

    82÷17=482 \div 17 = 4 with a remainder.
    17×4=6817 \times 4 = 68.
    Subtract 82−68=1482 - 68 = 14. Bring down the next digit, 3, to make 143.

  2. Divide 143 by 17.

    143÷17=8143 \div 17 = 8 with a remainder.
    17×8=13617 \times 8 = 136.
    Subtract 143−136=7143 - 136 = 7. Bring down the next digit, 4, to make 74.

  3. Divide 74 by 17.

    74÷17=474 \div 17 = 4 with a remainder.
    17×4=6817 \times 4 = 68.
    Subtract 74−68=674 - 68 = 6. Bring down the next digit, 6, to make 66.

  4. Divide 66 by 17.

    66÷17=366 \div 17 = 3 with a remainder.
    17×3=5117 \times 3 = 51.
    Subtract 66−51=1566 - 51 = 15. Bring down the next digit, 5, to make 155.

  5. Divide 155 by 17.

    155÷17=9155 \div 17 = 9 with a remainder.
    17×9=15317 \times 9 = 153.
    Subtract 155−153=2155 - 153 = 2. Bring down the next digit, 6, to make 26.

  6. Divide 26 by 17.

    26÷17=126 \div 17 = 1 with a remainder.
    17×1=1717 \times 1 = 17.
    Subtract 26−17=926 - 17 = 9.

    The quotient is 484391 and the remainder is 9.
    We can write this as:

    823465617=484391 with a remainder of 9\frac{8234656}{17} = 484391 \text{ with a remainder of } 9

    Or, as a mixed number:

    484391917484391 \frac{9}{17}

    Or, as a decimal:

    484391+917≈484391.52941176...484391 + \frac{9}{17} \approx 484391.52941176...

    The result of the division is 484391 R 9484391 \text{ R } 9.

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