Solve 1806/22

$$\frac { 1806 } { 22 }$$

Evaluate

$$\frac{903}{11}\approx 82.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1806

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)1806}\\\end{array}$$

Since 1 is less than 22, use the next digit 8 from dividend 1806 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)1806}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1806

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)1806}\\\end{array}$$

Since 18 is less than 22, use the next digit 0 from dividend 1806 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)1806}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1806

$$\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)1806}\\\end{array}$$

Find closest multiple of 22 to 180. We see that 8 \times 22 = 176 is the nearest. Now subtract 176 from 180 to get reminder 4. Add 8 to quotient.

$$\begin{array}{l}\phantom{22)}008\phantom{6}\\22\overline{)1806}\\\phantom{22)}\underline{\phantom{}176\phantom{9}}\\\phantom{22)99}4\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1806

$$\begin{array}{l}\phantom{22)}008\phantom{7}\\22\overline{)1806}\\\phantom{22)}\underline{\phantom{}176\phantom{9}}\\\phantom{22)99}46\\\end{array}$$

Find closest multiple of 22 to 46. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 46 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}0082\phantom{8}\\22\overline{)1806}\\\phantom{22)}\underline{\phantom{}176\phantom{9}}\\\phantom{22)99}46\\\phantom{22)}\underline{\phantom{99}44\phantom{}}\\\phantom{22)999}2\\\end{array}$$

Since 2 is less than 22, stop the division. The reminder is 2. The topmost line 0082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.

$$\text{Quotient: }82 \text{Reminder: }2$$

Factor

$$\frac{3 \cdot 7 \cdot 43}{11} = 82\frac{1}{11} = 82.0909090909091$$