Solve 13824/96

$$\frac { 13824 } { 96 }$$

Evaluate

$$144$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13824

$$\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)13824}\\\end{array}$$

Since 1 is less than 96, use the next digit 3 from dividend 13824 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)13824}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13824

$$\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)13824}\\\end{array}$$

Since 13 is less than 96, use the next digit 8 from dividend 13824 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)13824}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 13824

$$\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)13824}\\\end{array}$$

Find closest multiple of 96 to 138. We see that 1 \times 96 = 96 is the nearest. Now subtract 96 from 138 to get reminder 42. Add 1 to quotient.

$$\begin{array}{l}\phantom{96)}001\phantom{6}\\96\overline{)13824}\\\phantom{96)}\underline{\phantom{9}96\phantom{99}}\\\phantom{96)9}42\\\end{array}$$

Use the 4^{th} digit 2 from dividend 13824

$$\begin{array}{l}\phantom{96)}001\phantom{7}\\96\overline{)13824}\\\phantom{96)}\underline{\phantom{9}96\phantom{99}}\\\phantom{96)9}422\\\end{array}$$

Find closest multiple of 96 to 422. We see that 4 \times 96 = 384 is the nearest. Now subtract 384 from 422 to get reminder 38. Add 4 to quotient.

$$\begin{array}{l}\phantom{96)}0014\phantom{8}\\96\overline{)13824}\\\phantom{96)}\underline{\phantom{9}96\phantom{99}}\\\phantom{96)9}422\\\phantom{96)}\underline{\phantom{9}384\phantom{9}}\\\phantom{96)99}38\\\end{array}$$

Use the 5^{th} digit 4 from dividend 13824

$$\begin{array}{l}\phantom{96)}0014\phantom{9}\\96\overline{)13824}\\\phantom{96)}\underline{\phantom{9}96\phantom{99}}\\\phantom{96)9}422\\\phantom{96)}\underline{\phantom{9}384\phantom{9}}\\\phantom{96)99}384\\\end{array}$$

Find closest multiple of 96 to 384. We see that 4 \times 96 = 384 is the nearest. Now subtract 384 from 384 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{96)}00144\phantom{10}\\96\overline{)13824}\\\phantom{96)}\underline{\phantom{9}96\phantom{99}}\\\phantom{96)9}422\\\phantom{96)}\underline{\phantom{9}384\phantom{9}}\\\phantom{96)99}384\\\phantom{96)}\underline{\phantom{99}384\phantom{}}\\\phantom{96)99999}0\\\end{array}$$

Since 0 is less than 96, stop the division. The reminder is 0. The topmost line 00144 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 144.

$$\text{Quotient: }144 \text{Reminder: }0$$

Factor

$$2^{4}\times 3^{2}$$