Solve 310/130

$$\frac { 310 } { 130 }$$

Evaluate

$$\frac{31}{13}\approx 2.384615385$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 310

$$\begin{array}{l}\phantom{130)}\phantom{1}\\130\overline{)310}\\\end{array}$$

Since 3 is less than 130, use the next digit 1 from dividend 310 and add 0 to the quotient

$$\begin{array}{l}\phantom{130)}0\phantom{2}\\130\overline{)310}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 310

$$\begin{array}{l}\phantom{130)}0\phantom{3}\\130\overline{)310}\\\end{array}$$

Since 31 is less than 130, use the next digit 0 from dividend 310 and add 0 to the quotient

$$\begin{array}{l}\phantom{130)}00\phantom{4}\\130\overline{)310}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 310

$$\begin{array}{l}\phantom{130)}00\phantom{5}\\130\overline{)310}\\\end{array}$$

Find closest multiple of 130 to 310. We see that 2 \times 130 = 260 is the nearest. Now subtract 260 from 310 to get reminder 50. Add 2 to quotient.

$$\begin{array}{l}\phantom{130)}002\phantom{6}\\130\overline{)310}\\\phantom{130)}\underline{\phantom{}260\phantom{}}\\\phantom{130)9}50\\\end{array}$$

Since 50 is less than 130, stop the division. The reminder is 50. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }50$$

Factor

$$\frac{31}{13} = 2\frac{5}{13} = 2.3846153846153846$$