Solve 12150div1024

$$12150 \div 1024$$

Evaluate

$$\frac{6075}{512}=11.865234375$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12150

$$\begin{array}{l}\phantom{1024)}\phantom{1}\\1024\overline{)12150}\\\end{array}$$

Since 1 is less than 1024, use the next digit 2 from dividend 12150 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}0\phantom{2}\\1024\overline{)12150}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12150

$$\begin{array}{l}\phantom{1024)}0\phantom{3}\\1024\overline{)12150}\\\end{array}$$

Since 12 is less than 1024, use the next digit 1 from dividend 12150 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}00\phantom{4}\\1024\overline{)12150}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 12150

$$\begin{array}{l}\phantom{1024)}00\phantom{5}\\1024\overline{)12150}\\\end{array}$$

Since 121 is less than 1024, use the next digit 5 from dividend 12150 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}000\phantom{6}\\1024\overline{)12150}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 12150

$$\begin{array}{l}\phantom{1024)}000\phantom{7}\\1024\overline{)12150}\\\end{array}$$

Find closest multiple of 1024 to 1215. We see that 1 \times 1024 = 1024 is the nearest. Now subtract 1024 from 1215 to get reminder 191. Add 1 to quotient.

$$\begin{array}{l}\phantom{1024)}0001\phantom{8}\\1024\overline{)12150}\\\phantom{1024)}\underline{\phantom{}1024\phantom{9}}\\\phantom{1024)9}191\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12150

$$\begin{array}{l}\phantom{1024)}0001\phantom{9}\\1024\overline{)12150}\\\phantom{1024)}\underline{\phantom{}1024\phantom{9}}\\\phantom{1024)9}1910\\\end{array}$$

Find closest multiple of 1024 to 1910. We see that 1 \times 1024 = 1024 is the nearest. Now subtract 1024 from 1910 to get reminder 886. Add 1 to quotient.

$$\begin{array}{l}\phantom{1024)}00011\phantom{10}\\1024\overline{)12150}\\\phantom{1024)}\underline{\phantom{}1024\phantom{9}}\\\phantom{1024)9}1910\\\phantom{1024)}\underline{\phantom{9}1024\phantom{}}\\\phantom{1024)99}886\\\end{array}$$

Since 886 is less than 1024, stop the division. The reminder is 886. The topmost line 00011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }886$$

Factor

$$\frac{3 ^ {5} \cdot 5 ^ {2}}{2 ^ {9}} = 11\frac{443}{512} = 11.865234375$$