Solve 68/25

$$\frac{ 68 }{ 25 }$$

Evaluate

$$\frac{68}{25}=2.72$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 68

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)68}\\\end{array}$$

Since 6 is less than 25, use the next digit 8 from dividend 68 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)68}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 68

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)68}\\\end{array}$$

Find closest multiple of 25 to 68. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 68 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)68}\\\phantom{25)}\underline{\phantom{}50\phantom{}}\\\phantom{25)}18\\\end{array}$$

Since 18 is less than 25, stop the division. The reminder is 18. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }18$$

Factor

$$\frac{2 ^ {2} \cdot 17}{5 ^ {2}} = 2\frac{18}{25} = 2.72$$