Solve 1000000div11

$$1000000 \div 11$$

Evaluate

$$\frac{1000000}{11}\approx 90909.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000000

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1000000}\\\end{array}$$

Since 1 is less than 11, use the next digit 0 from dividend 1000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1000000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1000000}\\\end{array}$$

Since 10 is less than 11, use the next digit 0 from dividend 1000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}00\phantom{4}\\11\overline{)1000000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{11)}00\phantom{5}\\11\overline{)1000000}\\\end{array}$$

Find closest multiple of 11 to 100. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 100 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}009\phantom{6}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}1\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{11)}009\phantom{7}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}10\\\end{array}$$

Since 10 is less than 11, use the next digit 0 from dividend 1000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0090\phantom{8}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}10\\\end{array}$$

Use the 5^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{11)}0090\phantom{9}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}100\\\end{array}$$

Find closest multiple of 11 to 100. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 100 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}00909\phantom{10}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}100\\\phantom{11)}\underline{\phantom{999}99\phantom{99}}\\\phantom{11)9999}1\\\end{array}$$

Use the 6^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{11)}00909\phantom{11}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}100\\\phantom{11)}\underline{\phantom{999}99\phantom{99}}\\\phantom{11)9999}10\\\end{array}$$

Since 10 is less than 11, use the next digit 0 from dividend 1000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}009090\phantom{12}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}100\\\phantom{11)}\underline{\phantom{999}99\phantom{99}}\\\phantom{11)9999}10\\\end{array}$$

Use the 7^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{11)}009090\phantom{13}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}100\\\phantom{11)}\underline{\phantom{999}99\phantom{99}}\\\phantom{11)9999}100\\\end{array}$$

Find closest multiple of 11 to 100. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 100 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}0090909\phantom{14}\\11\overline{)1000000}\\\phantom{11)}\underline{\phantom{9}99\phantom{9999}}\\\phantom{11)99}100\\\phantom{11)}\underline{\phantom{999}99\phantom{99}}\\\phantom{11)9999}100\\\phantom{11)}\underline{\phantom{99999}99\phantom{}}\\\phantom{11)999999}1\\\end{array}$$

Since 1 is less than 11, stop the division. The reminder is 1. The topmost line 0090909 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 90909.

$$\text{Quotient: }90909 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {6}}{11} = 90909\frac{1}{11} = 90909.09090909091$$