Solve 231/105

$$\frac{ 231 }{ 105 }$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 231

$$\begin{array}{l}\phantom{105)}\phantom{1}\\105\overline{)231}\\\end{array}$$

Since 2 is less than 105, use the next digit 3 from dividend 231 and add 0 to the quotient

$$\begin{array}{l}\phantom{105)}0\phantom{2}\\105\overline{)231}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 231

$$\begin{array}{l}\phantom{105)}0\phantom{3}\\105\overline{)231}\\\end{array}$$

Since 23 is less than 105, use the next digit 1 from dividend 231 and add 0 to the quotient

$$\begin{array}{l}\phantom{105)}00\phantom{4}\\105\overline{)231}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 231

$$\begin{array}{l}\phantom{105)}00\phantom{5}\\105\overline{)231}\\\end{array}$$

Find closest multiple of 105 to 231. We see that 2 \times 105 = 210 is the nearest. Now subtract 210 from 231 to get reminder 21. Add 2 to quotient.

$$\begin{array}{l}\phantom{105)}002\phantom{6}\\105\overline{)231}\\\phantom{105)}\underline{\phantom{}210\phantom{}}\\\phantom{105)9}21\\\end{array}$$

Since 21 is less than 105, stop the division. The reminder is 21. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }21$$

Factor

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