Solve 324div75

$$324 \div 75$$

Evaluate

$$\frac{108}{25}=4.32$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 324

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)324}\\\end{array}$$

Since 3 is less than 75, use the next digit 2 from dividend 324 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)324}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 324

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)324}\\\end{array}$$

Since 32 is less than 75, use the next digit 4 from dividend 324 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)324}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 324

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)324}\\\end{array}$$

Find closest multiple of 75 to 324. We see that 4 \times 75 = 300 is the nearest. Now subtract 300 from 324 to get reminder 24. Add 4 to quotient.

$$\begin{array}{l}\phantom{75)}004\phantom{6}\\75\overline{)324}\\\phantom{75)}\underline{\phantom{}300\phantom{}}\\\phantom{75)9}24\\\end{array}$$

Since 24 is less than 75, stop the division. The reminder is 24. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }24$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3}}{5 ^ {2}} = 4\frac{8}{25} = 4.32$$