Solve 36div13

$$36 \div 13$$

Evaluate

$$\frac{36}{13}\approx 2.769230769$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 36

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)36}\\\end{array}$$

Since 3 is less than 13, use the next digit 6 from dividend 36 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)36}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 36

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)36}\\\end{array}$$

Find closest multiple of 13 to 36. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 36 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)36}\\\phantom{13)}\underline{\phantom{}26\phantom{}}\\\phantom{13)}10\\\end{array}$$

Since 10 is less than 13, stop the division. The reminder is 10. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{13} = 2\frac{10}{13} = 2.769230769230769$$