Solve 12528div24

$$12528 \div 24$$

Evaluate

$$522$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12528

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)12528}\\\end{array}$$

Since 1 is less than 24, use the next digit 2 from dividend 12528 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)12528}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12528

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)12528}\\\end{array}$$

Since 12 is less than 24, use the next digit 5 from dividend 12528 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)12528}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 12528

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)12528}\\\end{array}$$

Find closest multiple of 24 to 125. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 125 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}005\phantom{6}\\24\overline{)12528}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)99}5\\\end{array}$$

Use the 4^{th} digit 2 from dividend 12528

$$\begin{array}{l}\phantom{24)}005\phantom{7}\\24\overline{)12528}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)99}52\\\end{array}$$

Find closest multiple of 24 to 52. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 52 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}0052\phantom{8}\\24\overline{)12528}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)99}52\\\phantom{24)}\underline{\phantom{99}48\phantom{9}}\\\phantom{24)999}4\\\end{array}$$

Use the 5^{th} digit 8 from dividend 12528

$$\begin{array}{l}\phantom{24)}0052\phantom{9}\\24\overline{)12528}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)99}52\\\phantom{24)}\underline{\phantom{99}48\phantom{9}}\\\phantom{24)999}48\\\end{array}$$

Find closest multiple of 24 to 48. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 48 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}00522\phantom{10}\\24\overline{)12528}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)99}52\\\phantom{24)}\underline{\phantom{99}48\phantom{9}}\\\phantom{24)999}48\\\phantom{24)}\underline{\phantom{999}48\phantom{}}\\\phantom{24)99999}0\\\end{array}$$

Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 00522 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 522.

$$\text{Quotient: }522 \text{Reminder: }0$$

Factor

$$2\times 3^{2}\times 29$$