Solve 1100111011div11

$$1100111011 \div 11$$

Evaluate

$$\frac{1100111011}{11}\approx 100010091.909090909$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1100111011}\\\end{array}$$

Since 1 is less than 11, use the next digit 1 from dividend 1100111011 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1100111011}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1100111011}\\\end{array}$$

Find closest multiple of 11 to 11. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 11 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)99}0\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)999}0\\\end{array}$$

Since 0 is less than 11, use the next digit 0 from dividend 1100111011 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}010\phantom{6}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)999}0\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}010\phantom{7}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}0\\\end{array}$$

Since 0 is less than 11, use the next digit 1 from dividend 1100111011 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0100\phantom{8}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}0\\\end{array}$$

Use the 5^{th} digit 1 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}0100\phantom{9}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}1\\\end{array}$$

Since 1 is less than 11, use the next digit 1 from dividend 1100111011 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}01000\phantom{10}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}1\\\end{array}$$

Use the 6^{th} digit 1 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}01000\phantom{11}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\end{array}$$

Find closest multiple of 11 to 11. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 11 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}010001\phantom{12}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}0\\\end{array}$$

Use the 7^{th} digit 1 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}010001\phantom{13}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}1\\\end{array}$$

Since 1 is less than 11, use the next digit 0 from dividend 1100111011 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0100010\phantom{14}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}1\\\end{array}$$

Use the 8^{th} digit 0 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}0100010\phantom{15}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}10\\\end{array}$$

Since 10 is less than 11, use the next digit 1 from dividend 1100111011 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}01000100\phantom{16}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}10\\\end{array}$$

Use the 9^{th} digit 1 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}01000100\phantom{17}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}101\\\end{array}$$

Find closest multiple of 11 to 101. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 101 to get reminder 2. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}010001009\phantom{18}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}101\\\phantom{11)}\underline{\phantom{9999999}99\phantom{9}}\\\phantom{11)99999999}2\\\end{array}$$

Use the 10^{th} digit 1 from dividend 1100111011

$$\begin{array}{l}\phantom{11)}010001009\phantom{19}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}101\\\phantom{11)}\underline{\phantom{9999999}99\phantom{9}}\\\phantom{11)99999999}21\\\end{array}$$

Find closest multiple of 11 to 21. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 21 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}0100010091\phantom{20}\\11\overline{)1100111011}\\\phantom{11)}\underline{\phantom{}11\phantom{99999999}}\\\phantom{11)9999}11\\\phantom{11)}\underline{\phantom{9999}11\phantom{9999}}\\\phantom{11)999999}101\\\phantom{11)}\underline{\phantom{9999999}99\phantom{9}}\\\phantom{11)99999999}21\\\phantom{11)}\underline{\phantom{99999999}11\phantom{}}\\\phantom{11)99999999}10\\\end{array}$$

Since 10 is less than 11, stop the division. The reminder is 10. The topmost line 0100010091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 100010091.

$$\text{Quotient: }100010091 \text{Reminder: }10$$

Factor

$$\frac{43 \cdot 25583977}{11} = 100010091\frac{10}{11} = 100010091.9090909$$