Solve 10020/24

$$\frac { 10020 } { 24 }$$

Evaluate

$$\frac{835}{2}=417.5$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10020

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)10020}\\\end{array}$$

Since 1 is less than 24, use the next digit 0 from dividend 10020 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)10020}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10020

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)10020}\\\end{array}$$

Since 10 is less than 24, use the next digit 0 from dividend 10020 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)10020}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10020

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)10020}\\\end{array}$$

Find closest multiple of 24 to 100. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}004\phantom{6}\\24\overline{)10020}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)99}4\\\end{array}$$

Use the 4^{th} digit 2 from dividend 10020

$$\begin{array}{l}\phantom{24)}004\phantom{7}\\24\overline{)10020}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)99}42\\\end{array}$$

Find closest multiple of 24 to 42. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 42 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}0041\phantom{8}\\24\overline{)10020}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)99}42\\\phantom{24)}\underline{\phantom{99}24\phantom{9}}\\\phantom{24)99}18\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10020

$$\begin{array}{l}\phantom{24)}0041\phantom{9}\\24\overline{)10020}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)99}42\\\phantom{24)}\underline{\phantom{99}24\phantom{9}}\\\phantom{24)99}180\\\end{array}$$

Find closest multiple of 24 to 180. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}00417\phantom{10}\\24\overline{)10020}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)99}42\\\phantom{24)}\underline{\phantom{99}24\phantom{9}}\\\phantom{24)99}180\\\phantom{24)}\underline{\phantom{99}168\phantom{}}\\\phantom{24)999}12\\\end{array}$$

Since 12 is less than 24, stop the division. The reminder is 12. The topmost line 00417 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 417.

$$\text{Quotient: }417 \text{Reminder: }12$$

Factor

$$\frac{5 \cdot 167}{2} = 417\frac{1}{2} = 417.5$$