Solve 208/64

$$\frac{ 208 }{ 64 }$$

Evaluate

$$\frac{13}{4}=3.25$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 208

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)208}\\\end{array}$$

Since 2 is less than 64, use the next digit 0 from dividend 208 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)208}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 208

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)208}\\\end{array}$$

Since 20 is less than 64, use the next digit 8 from dividend 208 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)208}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 208

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)208}\\\end{array}$$

Find closest multiple of 64 to 208. We see that 3 \times 64 = 192 is the nearest. Now subtract 192 from 208 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{64)}003\phantom{6}\\64\overline{)208}\\\phantom{64)}\underline{\phantom{}192\phantom{}}\\\phantom{64)9}16\\\end{array}$$

Since 16 is less than 64, stop the division. The reminder is 16. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }16$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$