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How do you solve 126 divided by 4 using long division?

Mathematics

ScanSolve AI Answer

Answer

31 R 231 \text{ R } 2

Step-by-step solution

5 steps
  1. Divide the first part of the dividend (12) by the divisor (4).

    12÷4=312 \div 4 = 3

    Write 3 above the 2 in the dividend.

  2. Multiply the quotient digit (3) by the divisor (4).

    3×4=123 \times 4 = 12

    Subtract this from 12.

    12−12=012 - 12 = 0
  3. Bring down the next digit of the dividend (6).

    Now we have 06, or simply 6.

  4. Divide 6 by the divisor (4).

    6÷4=1 with a remainder6 \div 4 = 1 \text{ with a remainder}

    Write 1 next to the previous quotient digit (3) above the 6.

  5. Multiply the new quotient digit (1) by the divisor (4).

    1×4=41 \times 4 = 4

    Subtract this from 6.

    6−4=26 - 4 = 2

    The quotient is 31 and the remainder is 2.
    We can write this as:

    126÷4=31 R 2126 \div 4 = 31 \text{ R } 2

    Or as a mixed number:

    3124=311231 \frac{2}{4} = 31 \frac{1}{2}

    Or as a decimal:

    31.531.5

    The result of the division is:

    31 R 231 \text{ R } 2
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