Solve 256%

$$256 \%$$

Evaluate

$$\frac{64}{25}=2.56$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 256

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)256}\\\end{array}$$

Since 2 is less than 100, use the next digit 5 from dividend 256 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)256}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 256

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)256}\\\end{array}$$

Since 25 is less than 100, use the next digit 6 from dividend 256 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)256}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 256

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)256}\\\end{array}$$

Find closest multiple of 100 to 256. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 256 to get reminder 56. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)256}\\\phantom{100)}\underline{\phantom{}200\phantom{}}\\\phantom{100)9}56\\\end{array}$$

Since 56 is less than 100, stop the division. The reminder is 56. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }56$$

Factor

$$\frac{2 ^ {6}}{5 ^ {2}} = 2\frac{14}{25} = 2.56$$