Solve 100/24

$$\frac{ 100 }{ 24 }$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 100

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)100}\\\end{array}$$

Since 1 is less than 24, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)100}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)100}\\\end{array}$$

Since 10 is less than 24, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)100}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{24)}004\phantom{6}\\24\overline{)100}\\\phantom{24)}\underline{\phantom{9}96\phantom{}}\\\phantom{24)99}4\\\end{array}$$

Since 4 is less than 24, stop the division. The reminder is 4. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }4$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$