Solve 73/25

$$\frac { 73 } { 25 }$$

Evaluate

$$\frac{73}{25}=2.92$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 73

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)73}\\\end{array}$$

Since 7 is less than 25, use the next digit 3 from dividend 73 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)73}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 73

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)73}\\\end{array}$$

Find closest multiple of 25 to 73. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 73 to get reminder 23. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)73}\\\phantom{25)}\underline{\phantom{}50\phantom{}}\\\phantom{25)}23\\\end{array}$$

Since 23 is less than 25, stop the division. The reminder is 23. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }23$$

Factor

$$\frac{73}{5 ^ {2}} = 2\frac{23}{25} = 2.92$$