Solve 1536/48

$$\frac { 1536 } { 48 }$$

Evaluate

$$32$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1536

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)1536}\\\end{array}$$

Since 1 is less than 48, use the next digit 5 from dividend 1536 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)1536}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1536

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)1536}\\\end{array}$$

Since 15 is less than 48, use the next digit 3 from dividend 1536 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)1536}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1536

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)1536}\\\end{array}$$

Find closest multiple of 48 to 153. We see that 3 \times 48 = 144 is the nearest. Now subtract 144 from 153 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{48)}003\phantom{6}\\48\overline{)1536}\\\phantom{48)}\underline{\phantom{}144\phantom{9}}\\\phantom{48)99}9\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1536

$$\begin{array}{l}\phantom{48)}003\phantom{7}\\48\overline{)1536}\\\phantom{48)}\underline{\phantom{}144\phantom{9}}\\\phantom{48)99}96\\\end{array}$$

Find closest multiple of 48 to 96. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 96 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{48)}0032\phantom{8}\\48\overline{)1536}\\\phantom{48)}\underline{\phantom{}144\phantom{9}}\\\phantom{48)99}96\\\phantom{48)}\underline{\phantom{99}96\phantom{}}\\\phantom{48)9999}0\\\end{array}$$

Since 0 is less than 48, stop the division. The reminder is 0. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.

$$\text{Quotient: }32 \text{Reminder: }0$$

Factor

$$2^{5}$$