Solve 12228div512

$$12228 \div 512$$

Evaluate

$$\frac{3057}{128}=23.8828125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12228

$$\begin{array}{l}\phantom{512)}\phantom{1}\\512\overline{)12228}\\\end{array}$$

Since 1 is less than 512, use the next digit 2 from dividend 12228 and add 0 to the quotient

$$\begin{array}{l}\phantom{512)}0\phantom{2}\\512\overline{)12228}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12228

$$\begin{array}{l}\phantom{512)}0\phantom{3}\\512\overline{)12228}\\\end{array}$$

Since 12 is less than 512, use the next digit 2 from dividend 12228 and add 0 to the quotient

$$\begin{array}{l}\phantom{512)}00\phantom{4}\\512\overline{)12228}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 12228

$$\begin{array}{l}\phantom{512)}00\phantom{5}\\512\overline{)12228}\\\end{array}$$

Since 122 is less than 512, use the next digit 2 from dividend 12228 and add 0 to the quotient

$$\begin{array}{l}\phantom{512)}000\phantom{6}\\512\overline{)12228}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 12228

$$\begin{array}{l}\phantom{512)}000\phantom{7}\\512\overline{)12228}\\\end{array}$$

Find closest multiple of 512 to 1222. We see that 2 \times 512 = 1024 is the nearest. Now subtract 1024 from 1222 to get reminder 198. Add 2 to quotient.

$$\begin{array}{l}\phantom{512)}0002\phantom{8}\\512\overline{)12228}\\\phantom{512)}\underline{\phantom{}1024\phantom{9}}\\\phantom{512)9}198\\\end{array}$$

Use the 5^{th} digit 8 from dividend 12228

$$\begin{array}{l}\phantom{512)}0002\phantom{9}\\512\overline{)12228}\\\phantom{512)}\underline{\phantom{}1024\phantom{9}}\\\phantom{512)9}1988\\\end{array}$$

Find closest multiple of 512 to 1988. We see that 3 \times 512 = 1536 is the nearest. Now subtract 1536 from 1988 to get reminder 452. Add 3 to quotient.

$$\begin{array}{l}\phantom{512)}00023\phantom{10}\\512\overline{)12228}\\\phantom{512)}\underline{\phantom{}1024\phantom{9}}\\\phantom{512)9}1988\\\phantom{512)}\underline{\phantom{9}1536\phantom{}}\\\phantom{512)99}452\\\end{array}$$

Since 452 is less than 512, stop the division. The reminder is 452. The topmost line 00023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }452$$

Factor

$$\frac{3 \cdot 1019}{2 ^ {7}} = 23\frac{113}{128} = 23.8828125$$