Solve 2187/256

$$\frac{ 2187 }{ 256 }$$

Evaluate

$$\frac{2187}{256}=8.54296875$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2187

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)2187}\\\end{array}$$

Since 2 is less than 256, use the next digit 1 from dividend 2187 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)2187}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2187

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)2187}\\\end{array}$$

Since 21 is less than 256, use the next digit 8 from dividend 2187 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)2187}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2187

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)2187}\\\end{array}$$

Since 218 is less than 256, use the next digit 7 from dividend 2187 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}000\phantom{6}\\256\overline{)2187}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 2187

$$\begin{array}{l}\phantom{256)}000\phantom{7}\\256\overline{)2187}\\\end{array}$$

Find closest multiple of 256 to 2187. We see that 8 \times 256 = 2048 is the nearest. Now subtract 2048 from 2187 to get reminder 139. Add 8 to quotient.

$$\begin{array}{l}\phantom{256)}0008\phantom{8}\\256\overline{)2187}\\\phantom{256)}\underline{\phantom{}2048\phantom{}}\\\phantom{256)9}139\\\end{array}$$

Since 139 is less than 256, stop the division. The reminder is 139. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }139$$

Factor

$$\frac{3 ^ {7}}{2 ^ {8}} = 8\frac{139}{256} = 8.54296875$$