Solve 72/26

$$\frac { 72 } { 26 }$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 72

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)72}\\\end{array}$$

Since 7 is less than 26, use the next digit 2 from dividend 72 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)72}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 72

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)72}\\\end{array}$$

Find closest multiple of 26 to 72. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 72 to get reminder 20. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}02\phantom{4}\\26\overline{)72}\\\phantom{26)}\underline{\phantom{}52\phantom{}}\\\phantom{26)}20\\\end{array}$$

Since 20 is less than 26, stop the division. The reminder is 20. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }20$$

Factor

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