Solve 8000/256=

$$\frac{ 8000 }{ 256 } =$$

Evaluate

$$\frac{125}{4}=31.25$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8000

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)8000}\\\end{array}$$

Since 8 is less than 256, use the next digit 0 from dividend 8000 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)8000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)8000}\\\end{array}$$

Since 80 is less than 256, use the next digit 0 from dividend 8000 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)8000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)8000}\\\end{array}$$

Find closest multiple of 256 to 800. We see that 3 \times 256 = 768 is the nearest. Now subtract 768 from 800 to get reminder 32. Add 3 to quotient.

$$\begin{array}{l}\phantom{256)}003\phantom{6}\\256\overline{)8000}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)9}32\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{256)}003\phantom{7}\\256\overline{)8000}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)9}320\\\end{array}$$

Find closest multiple of 256 to 320. We see that 1 \times 256 = 256 is the nearest. Now subtract 256 from 320 to get reminder 64. Add 1 to quotient.

$$\begin{array}{l}\phantom{256)}0031\phantom{8}\\256\overline{)8000}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)9}320\\\phantom{256)}\underline{\phantom{9}256\phantom{}}\\\phantom{256)99}64\\\end{array}$$

Since 64 is less than 256, stop the division. The reminder is 64. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }64$$

Factor

$$\frac{5 ^ {3}}{2 ^ {2}} = 31\frac{1}{4} = 31.25$$