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Using long division. Calculate the following

Mathematics

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Step-by-step solution

11 steps

Here are the calculations using long division:

1. Using long division. Calculate the following

a) 264÷12264 \div 12

  1. Divide 26 by 12.

    212)264‾−24↓2\begin{array}{r} 2 \\ 12 \overline{) 264} \\ -24 \downarrow \\ \hline 2 \end{array}
  2. Bring down the 4 to make 24.

    Divide 24 by 12.

    2212)264‾−24↓24−240\begin{array}{r} 22 \\ 12 \overline{) 264} \\ -24 \downarrow \\ \hline 24 \\ -24 \\ \hline 0 \end{array}

    The remainder is 0.

    • Answer: 22\boxed{\text{22}}

    b) 396÷18396 \div 18

  3. Divide 39 by 18.

    218)396‾−36↓3\begin{array}{r} 2 \\ 18 \overline{) 396} \\ -36 \downarrow \\ \hline 3 \end{array}
  4. Bring down the 6 to make 36.

    Divide 36 by 18.

    2218)396‾−36↓36−360\begin{array}{r} 22 \\ 18 \overline{) 396} \\ -36 \downarrow \\ \hline 36 \\ -36 \\ \hline 0 \end{array}

    The remainder is 0.

    • Answer: 22\boxed{\text{22}}

    c) 455÷27455 \div 27

  5. Divide 45 by 27.

    127)455‾−27↓18\begin{array}{r} 1 \\ 27 \overline{) 455} \\ -27 \downarrow \\ \hline 18 \end{array}
  6. Bring down the 5 to make 185.

    Divide 185 by 27.

    1627)455‾−27↓185−16223\begin{array}{r} 16 \\ 27 \overline{) 455} \\ -27 \downarrow \\ \hline 185 \\ -162 \\ \hline 23 \end{array}

    The remainder is 23.

    • Answer: 16 remainder 23\boxed{\text{16 remainder 23}}

    d) 672÷21672 \div 21

  7. Divide 67 by 21.

    321)672‾−63↓4\begin{array}{r} 3 \\ 21 \overline{) 672} \\ -63 \downarrow \\ \hline 4 \end{array}
  8. Bring down the 2 to make 42.

    Divide 42 by 21.

    3221)672‾−63↓42−420\begin{array}{r} 32 \\ 21 \overline{) 672} \\ -63 \downarrow \\ \hline 42 \\ -42 \\ \hline 0 \end{array}

    The remainder is 0.

    • Answer: 32\boxed{\text{32}}

    2. Fill in the missing number, Show Calculation

    a) _÷25=12\_ \div 25 = 12

  9. Let the missing number be xx.

    x25=12\frac{x}{25} = 12
  10. To find xx, multiply both sides by 25.

    x=12×25x = 12 \times 25
  11. Perform the multiplication.

    x=300x = 300
    • Answer: 300\boxed{\text{300}}
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