Solve 3128div256

$$3128 \div 256$$

Evaluate

$$\frac{391}{32}=12.21875$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3128

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)3128}\\\end{array}$$

Since 3 is less than 256, use the next digit 1 from dividend 3128 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)3128}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 3128

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)3128}\\\end{array}$$

Since 31 is less than 256, use the next digit 2 from dividend 3128 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)3128}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3128

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)3128}\\\end{array}$$

Find closest multiple of 256 to 312. We see that 1 \times 256 = 256 is the nearest. Now subtract 256 from 312 to get reminder 56. Add 1 to quotient.

$$\begin{array}{l}\phantom{256)}001\phantom{6}\\256\overline{)3128}\\\phantom{256)}\underline{\phantom{}256\phantom{9}}\\\phantom{256)9}56\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3128

$$\begin{array}{l}\phantom{256)}001\phantom{7}\\256\overline{)3128}\\\phantom{256)}\underline{\phantom{}256\phantom{9}}\\\phantom{256)9}568\\\end{array}$$

Find closest multiple of 256 to 568. We see that 2 \times 256 = 512 is the nearest. Now subtract 512 from 568 to get reminder 56. Add 2 to quotient.

$$\begin{array}{l}\phantom{256)}0012\phantom{8}\\256\overline{)3128}\\\phantom{256)}\underline{\phantom{}256\phantom{9}}\\\phantom{256)9}568\\\phantom{256)}\underline{\phantom{9}512\phantom{}}\\\phantom{256)99}56\\\end{array}$$

Since 56 is less than 256, stop the division. The reminder is 56. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }56$$

Factor

$$\frac{17 \cdot 23}{2 ^ {5}} = 12\frac{7}{32} = 12.21875$$