Solve 885div256

$$885 \div 256$$

Evaluate

$$\frac{885}{256}=3.45703125$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 885

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)885}\\\end{array}$$

Since 8 is less than 256, use the next digit 8 from dividend 885 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)885}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 885

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)885}\\\end{array}$$

Since 88 is less than 256, use the next digit 5 from dividend 885 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)885}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 885

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)885}\\\end{array}$$

Find closest multiple of 256 to 885. We see that 3 \times 256 = 768 is the nearest. Now subtract 768 from 885 to get reminder 117. Add 3 to quotient.

$$\begin{array}{l}\phantom{256)}003\phantom{6}\\256\overline{)885}\\\phantom{256)}\underline{\phantom{}768\phantom{}}\\\phantom{256)}117\\\end{array}$$

Since 117 is less than 256, stop the division. The reminder is 117. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }117$$

Factor

$$\frac{3 \cdot 5 \cdot 59}{2 ^ {8}} = 3\frac{117}{256} = 3.45703125$$