Solve 33/25

$$\frac{ 33 }{ 25 }$$

Evaluate

$$\frac{33}{25}=1.32$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 33

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)33}\\\end{array}$$

Since 3 is less than 25, use the next digit 3 from dividend 33 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)33}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 33

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)33}\\\end{array}$$

Find closest multiple of 25 to 33. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 33 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)33}\\\phantom{25)}\underline{\phantom{}25\phantom{}}\\\phantom{25)9}8\\\end{array}$$

Since 8 is less than 25, stop the division. The reminder is 8. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }8$$

Factor

$$\frac{3 \cdot 11}{5 ^ {2}} = 1\frac{8}{25} = 1.32$$