Solve 4608div96

$$4608 \div 96$$

Evaluate

$$48$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4608

$$\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)4608}\\\end{array}$$

Since 4 is less than 96, use the next digit 6 from dividend 4608 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)4608}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 4608

$$\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)4608}\\\end{array}$$

Since 46 is less than 96, use the next digit 0 from dividend 4608 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)4608}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4608

$$\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)4608}\\\end{array}$$

Find closest multiple of 96 to 460. We see that 4 \times 96 = 384 is the nearest. Now subtract 384 from 460 to get reminder 76. Add 4 to quotient.

$$\begin{array}{l}\phantom{96)}004\phantom{6}\\96\overline{)4608}\\\phantom{96)}\underline{\phantom{}384\phantom{9}}\\\phantom{96)9}76\\\end{array}$$

Use the 4^{th} digit 8 from dividend 4608

$$\begin{array}{l}\phantom{96)}004\phantom{7}\\96\overline{)4608}\\\phantom{96)}\underline{\phantom{}384\phantom{9}}\\\phantom{96)9}768\\\end{array}$$

Find closest multiple of 96 to 768. We see that 8 \times 96 = 768 is the nearest. Now subtract 768 from 768 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{96)}0048\phantom{8}\\96\overline{)4608}\\\phantom{96)}\underline{\phantom{}384\phantom{9}}\\\phantom{96)9}768\\\phantom{96)}\underline{\phantom{9}768\phantom{}}\\\phantom{96)9999}0\\\end{array}$$

Since 0 is less than 96, stop the division. The reminder is 0. The topmost line 0048 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 48.

$$\text{Quotient: }48 \text{Reminder: }0$$

Factor

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