Solve 10011000div110

$$10011000 \div 110$$

Evaluate

$$\frac{1001100}{11}\approx 91009.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10011000

$$\begin{array}{l}\phantom{110)}\phantom{1}\\110\overline{)10011000}\\\end{array}$$

Since 1 is less than 110, use the next digit 0 from dividend 10011000 and add 0 to the quotient

$$\begin{array}{l}\phantom{110)}0\phantom{2}\\110\overline{)10011000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10011000

$$\begin{array}{l}\phantom{110)}0\phantom{3}\\110\overline{)10011000}\\\end{array}$$

Since 10 is less than 110, use the next digit 0 from dividend 10011000 and add 0 to the quotient

$$\begin{array}{l}\phantom{110)}00\phantom{4}\\110\overline{)10011000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10011000

$$\begin{array}{l}\phantom{110)}00\phantom{5}\\110\overline{)10011000}\\\end{array}$$

Since 100 is less than 110, use the next digit 1 from dividend 10011000 and add 0 to the quotient

$$\begin{array}{l}\phantom{110)}000\phantom{6}\\110\overline{)10011000}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 10011000

$$\begin{array}{l}\phantom{110)}000\phantom{7}\\110\overline{)10011000}\\\end{array}$$

Find closest multiple of 110 to 1001. We see that 9 \times 110 = 990 is the nearest. Now subtract 990 from 1001 to get reminder 11. Add 9 to quotient.

$$\begin{array}{l}\phantom{110)}0009\phantom{8}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}11\\\end{array}$$

Use the 5^{th} digit 1 from dividend 10011000

$$\begin{array}{l}\phantom{110)}0009\phantom{9}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\end{array}$$

Find closest multiple of 110 to 111. We see that 1 \times 110 = 110 is the nearest. Now subtract 110 from 111 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{110)}00091\phantom{10}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\phantom{110)}\underline{\phantom{99}110\phantom{999}}\\\phantom{110)9999}1\\\end{array}$$

Use the 6^{th} digit 0 from dividend 10011000

$$\begin{array}{l}\phantom{110)}00091\phantom{11}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\phantom{110)}\underline{\phantom{99}110\phantom{999}}\\\phantom{110)9999}10\\\end{array}$$

Since 10 is less than 110, use the next digit 0 from dividend 10011000 and add 0 to the quotient

$$\begin{array}{l}\phantom{110)}000910\phantom{12}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\phantom{110)}\underline{\phantom{99}110\phantom{999}}\\\phantom{110)9999}10\\\end{array}$$

Use the 7^{th} digit 0 from dividend 10011000

$$\begin{array}{l}\phantom{110)}000910\phantom{13}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\phantom{110)}\underline{\phantom{99}110\phantom{999}}\\\phantom{110)9999}100\\\end{array}$$

Since 100 is less than 110, use the next digit 0 from dividend 10011000 and add 0 to the quotient

$$\begin{array}{l}\phantom{110)}0009100\phantom{14}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\phantom{110)}\underline{\phantom{99}110\phantom{999}}\\\phantom{110)9999}100\\\end{array}$$

Use the 8^{th} digit 0 from dividend 10011000

$$\begin{array}{l}\phantom{110)}0009100\phantom{15}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\phantom{110)}\underline{\phantom{99}110\phantom{999}}\\\phantom{110)9999}1000\\\end{array}$$

Find closest multiple of 110 to 1000. We see that 9 \times 110 = 990 is the nearest. Now subtract 990 from 1000 to get reminder 10. Add 9 to quotient.

$$\begin{array}{l}\phantom{110)}00091009\phantom{16}\\110\overline{)10011000}\\\phantom{110)}\underline{\phantom{9}990\phantom{9999}}\\\phantom{110)99}111\\\phantom{110)}\underline{\phantom{99}110\phantom{999}}\\\phantom{110)9999}1000\\\phantom{110)}\underline{\phantom{99999}990\phantom{}}\\\phantom{110)999999}10\\\end{array}$$

Since 10 is less than 110, stop the division. The reminder is 10. The topmost line 00091009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91009.

$$\text{Quotient: }91009 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {2} \cdot 47 \cdot 71}{11} = 91009\frac{1}{11} = 91009.09090909091$$