Solve 1100:500

$$1100 : 500$$

Evaluate

$$\frac{11}{5}=2.2$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1100

$$\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)1100}\\\end{array}$$

Since 1 is less than 500, use the next digit 1 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)1100}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1100

$$\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)1100}\\\end{array}$$

Since 11 is less than 500, use the next digit 0 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)1100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1100

$$\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)1100}\\\end{array}$$

Since 110 is less than 500, use the next digit 0 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{500)}000\phantom{6}\\500\overline{)1100}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1100

$$\begin{array}{l}\phantom{500)}000\phantom{7}\\500\overline{)1100}\\\end{array}$$

Find closest multiple of 500 to 1100. We see that 2 \times 500 = 1000 is the nearest. Now subtract 1000 from 1100 to get reminder 100. Add 2 to quotient.

$$\begin{array}{l}\phantom{500)}0002\phantom{8}\\500\overline{)1100}\\\phantom{500)}\underline{\phantom{}1000\phantom{}}\\\phantom{500)9}100\\\end{array}$$

Since 100 is less than 500, stop the division. The reminder is 100. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }100$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$