Solve 310/13Rightarrow3x/13

$$\frac { 310 } { 13 } \Rightarrow \frac { 3 x } { 13 }$$

Evaluate

$$\frac{310}{13}\approx 23.846153846$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)310}\\\end{array}$$

Since 3 is less than 13, use the next digit 1 from dividend 310 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)310}\\\end{array}$$

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

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)310}\\\end{array}$$

Find closest multiple of 13 to 31. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 31 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)310}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}5\\\end{array}$$

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

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)310}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}50\\\end{array}$$

Find closest multiple of 13 to 50. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 50 to get reminder 11. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}023\phantom{6}\\13\overline{)310}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}50\\\phantom{13)}\underline{\phantom{9}39\phantom{}}\\\phantom{13)9}11\\\end{array}$$

Since 11 is less than 13, stop the division. The reminder is 11. The topmost line 023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }11$$

Factor

$$\frac{2 \cdot 5 \cdot 31}{13} = 23\frac{11}{13} = 23.846153846153847$$