Solve 9784/256

$$\frac { 9784 } { 256 }$$

Evaluate

$$\frac{1223}{32}=38.21875$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9784

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)9784}\\\end{array}$$

Since 9 is less than 256, use the next digit 7 from dividend 9784 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)9784}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 9784

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)9784}\\\end{array}$$

Since 97 is less than 256, use the next digit 8 from dividend 9784 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)9784}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 9784

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)9784}\\\end{array}$$

Find closest multiple of 256 to 978. We see that 3 \times 256 = 768 is the nearest. Now subtract 768 from 978 to get reminder 210. Add 3 to quotient.

$$\begin{array}{l}\phantom{256)}003\phantom{6}\\256\overline{)9784}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)}210\\\end{array}$$

Use the 4^{th} digit 4 from dividend 9784

$$\begin{array}{l}\phantom{256)}003\phantom{7}\\256\overline{)9784}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)}2104\\\end{array}$$

Find closest multiple of 256 to 2104. We see that 8 \times 256 = 2048 is the nearest. Now subtract 2048 from 2104 to get reminder 56. Add 8 to quotient.

$$\begin{array}{l}\phantom{256)}0038\phantom{8}\\256\overline{)9784}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)}2104\\\phantom{256)}\underline{\phantom{}2048\phantom{}}\\\phantom{256)99}56\\\end{array}$$

Since 56 is less than 256, stop the division. The reminder is 56. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }56$$

Factor

$$\frac{1223}{2 ^ {5}} = 38\frac{7}{32} = 38.21875$$