Solve 680/256

$$\frac { 680 } { 256 }$$

Evaluate

$$\frac{85}{32}=2.65625$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 680

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)680}\\\end{array}$$

Since 6 is less than 256, use the next digit 8 from dividend 680 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)680}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 680

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)680}\\\end{array}$$

Since 68 is less than 256, use the next digit 0 from dividend 680 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)680}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 680

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)680}\\\end{array}$$

Find closest multiple of 256 to 680. We see that 2 \times 256 = 512 is the nearest. Now subtract 512 from 680 to get reminder 168. Add 2 to quotient.

$$\begin{array}{l}\phantom{256)}002\phantom{6}\\256\overline{)680}\\\phantom{256)}\underline{\phantom{}512\phantom{}}\\\phantom{256)}168\\\end{array}$$

Since 168 is less than 256, stop the division. The reminder is 168. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }168$$

Factor

$$\frac{5 \cdot 17}{2 ^ {5}} = 2\frac{21}{32} = 2.65625$$