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Long Division 100÷30 answer please

Mathematics

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Answer

3 R 10 or 3.3‾3 \text{ R } 10 \text{ or } 3.\overline{3}

Step-by-step solution

7 steps

Here's how to perform the long division for 100÷30100 \div 30:

  1. Set up the long division.

    30)100‾30 \overline{\smash{)} 100}
  2. Determine how many times 30 goes into 100.

    30×3=9030 \times 3 = 90.
    30×4=12030 \times 4 = 120 (which is too large).
    So, 30 goes into 100 three times. Write 3 above the last digit of 100.

    330)100‾\begin{array}{r} 3 \\ 30 \overline{\smash{)} 100} \\ \end{array}
  3. Multiply the quotient digit (3) by the divisor (30).

    3×30=903 \times 30 = 90. Write 90 below 100.

    330)100‾−90\begin{array}{r} 3 \\ 30 \overline{\smash{)} 100} \\ -90 \\ \hline \end{array}
  4. Subtract 90 from 100.

    100−90=10100 - 90 = 10. This is the remainder.

    330)100‾−9010\begin{array}{r} 3 \\ 30 \overline{\smash{)} 100} \\ -90 \\ \hline 10 \end{array}

    So, 100÷30100 \div 30 is 3 with a remainder of 10.

    To express this as a decimal, add a decimal point and a zero to the dividend, and continue dividing.

  5. Bring down a zero after the decimal point.

    3.30)100.0‾−90100\begin{array}{r} 3. \\ 30 \overline{\smash{)} 100.0} \\ -90 \\ \hline 100 \\ \end{array}
  6. Determine how many times 30 goes into 100 again.

    It's 3 times. Write 3 after the decimal point in the quotient.

    3.330)100.0‾−90100−90\begin{array}{r} 3.3 \\ 30 \overline{\smash{)} 100.0} \\ -90 \\ \hline 100 \\ -90 \\ \hline \end{array}
  7. Subtract 90 from 100.

    100−90=10100 - 90 = 10.

    3.330)100.0‾−90100−9010\begin{array}{r} 3.3 \\ 30 \overline{\smash{)} 100.0} \\ -90 \\ \hline 100 \\ -90 \\ \hline 10 \end{array}

    The remainder is 10 again. This means the decimal will repeat.

    The answer is 3 R 10 or 3.3‾3 \text{ R } 10 \text{ or } 3.\overline{3}.

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