Solve 100/64

$$\frac{ 100 }{ 64 }$$

Evaluate

$$\frac{25}{16}=1.5625$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)100}\\\end{array}$$

Since 1 is less than 64, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)100}\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)100}\\\end{array}$$

Since 10 is less than 64, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)100}\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)100}\\\end{array}$$

Find closest multiple of 64 to 100. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 100 to get reminder 36. Add 1 to quotient.

$$\begin{array}{l}\phantom{64)}001\phantom{6}\\64\overline{)100}\\\phantom{64)}\underline{\phantom{9}64\phantom{}}\\\phantom{64)9}36\\\end{array}$$

Since 36 is less than 64, stop the division. The reminder is 36. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }36$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$