Solve 8848div256

$$8848 \div 256$$

Evaluate

$$\frac{553}{16}=34.5625$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8848

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)8848}\\\end{array}$$

Since 8 is less than 256, use the next digit 8 from dividend 8848 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)8848}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 8848

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)8848}\\\end{array}$$

Since 88 is less than 256, use the next digit 4 from dividend 8848 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)8848}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 8848

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)8848}\\\end{array}$$

Find closest multiple of 256 to 884. We see that 3 \times 256 = 768 is the nearest. Now subtract 768 from 884 to get reminder 116. Add 3 to quotient.

$$\begin{array}{l}\phantom{256)}003\phantom{6}\\256\overline{)8848}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)}116\\\end{array}$$

Use the 4^{th} digit 8 from dividend 8848

$$\begin{array}{l}\phantom{256)}003\phantom{7}\\256\overline{)8848}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)}1168\\\end{array}$$

Find closest multiple of 256 to 1168. We see that 4 \times 256 = 1024 is the nearest. Now subtract 1024 from 1168 to get reminder 144. Add 4 to quotient.

$$\begin{array}{l}\phantom{256)}0034\phantom{8}\\256\overline{)8848}\\\phantom{256)}\underline{\phantom{}768\phantom{9}}\\\phantom{256)}1168\\\phantom{256)}\underline{\phantom{}1024\phantom{}}\\\phantom{256)9}144\\\end{array}$$

Since 144 is less than 256, stop the division. The reminder is 144. The topmost line 0034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }144$$

Factor

$$\frac{7 \cdot 79}{2 ^ {4}} = 34\frac{9}{16} = 34.5625$$