Solve 480:125

$$480 : 125$$

Evaluate

$$\frac{96}{25}=3.84$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)480}\\\end{array}$$

Since 4 is less than 125, use the next digit 8 from dividend 480 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)480}\\\end{array}$$

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

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)480}\\\end{array}$$

Since 48 is less than 125, use the next digit 0 from dividend 480 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)480}\\\end{array}$$

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

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)480}\\\end{array}$$

Find closest multiple of 125 to 480. We see that 3 \times 125 = 375 is the nearest. Now subtract 375 from 480 to get reminder 105. Add 3 to quotient.

$$\begin{array}{l}\phantom{125)}003\phantom{6}\\125\overline{)480}\\\phantom{125)}\underline{\phantom{}375\phantom{}}\\\phantom{125)}105\\\end{array}$$

Since 105 is less than 125, stop the division. The reminder is 105. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }105$$

Factor

$$\frac{2 ^ {5} \cdot 3}{5 ^ {2}} = 3\frac{21}{25} = 3.84$$