Solve 480div75

$$480 \div 75$$

Evaluate

$$\frac{32}{5}=6.4$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 480

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)480}\\\end{array}$$

Since 4 is less than 75, use the next digit 8 from dividend 480 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)480}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 480

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)480}\\\end{array}$$

Since 48 is less than 75, use the next digit 0 from dividend 480 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)480}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 480

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)480}\\\end{array}$$

Find closest multiple of 75 to 480. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 480 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{75)}006\phantom{6}\\75\overline{)480}\\\phantom{75)}\underline{\phantom{}450\phantom{}}\\\phantom{75)9}30\\\end{array}$$

Since 30 is less than 75, stop the division. The reminder is 30. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }30$$

Factor

$$\frac{2 ^ {5}}{5} = 6\frac{2}{5} = 6.4$$