Solve 150/48

$$\frac { 150 } { 48 }$$

Evaluate

$$\frac{25}{8}=3.125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 150

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)150}\\\end{array}$$

Since 1 is less than 48, use the next digit 5 from dividend 150 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)150}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 150

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)150}\\\end{array}$$

Since 15 is less than 48, use the next digit 0 from dividend 150 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)150}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 150

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)150}\\\end{array}$$

Find closest multiple of 48 to 150. We see that 3 \times 48 = 144 is the nearest. Now subtract 144 from 150 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{48)}003\phantom{6}\\48\overline{)150}\\\phantom{48)}\underline{\phantom{}144\phantom{}}\\\phantom{48)99}6\\\end{array}$$

Since 6 is less than 48, stop the division. The reminder is 6. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }6$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$