Solve 100div96

$$100 \div 96$$

Evaluate

$$\frac{25}{24}\approx 1.041666667$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)100}\\\end{array}$$

Since 1 is less than 96, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)100}\\\end{array}$$

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

$$\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)100}\\\end{array}$$

Since 10 is less than 96, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)100}\\\end{array}$$

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

$$\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)100}\\\end{array}$$

Find closest multiple of 96 to 100. We see that 1 \times 96 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{96)}001\phantom{6}\\96\overline{)100}\\\phantom{96)}\underline{\phantom{9}96\phantom{}}\\\phantom{96)99}4\\\end{array}$$

Since 4 is less than 96, stop the division. The reminder is 4. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }4$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$$