Solve 9600/3840

$$\frac{ 9600 }{ 3840 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9600

$$\begin{array}{l}\phantom{3840)}\phantom{1}\\3840\overline{)9600}\\\end{array}$$

Since 9 is less than 3840, use the next digit 6 from dividend 9600 and add 0 to the quotient

$$\begin{array}{l}\phantom{3840)}0\phantom{2}\\3840\overline{)9600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 9600

$$\begin{array}{l}\phantom{3840)}0\phantom{3}\\3840\overline{)9600}\\\end{array}$$

Since 96 is less than 3840, use the next digit 0 from dividend 9600 and add 0 to the quotient

$$\begin{array}{l}\phantom{3840)}00\phantom{4}\\3840\overline{)9600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9600

$$\begin{array}{l}\phantom{3840)}00\phantom{5}\\3840\overline{)9600}\\\end{array}$$

Since 960 is less than 3840, use the next digit 0 from dividend 9600 and add 0 to the quotient

$$\begin{array}{l}\phantom{3840)}000\phantom{6}\\3840\overline{)9600}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9600

$$\begin{array}{l}\phantom{3840)}000\phantom{7}\\3840\overline{)9600}\\\end{array}$$

Find closest multiple of 3840 to 9600. We see that 2 \times 3840 = 7680 is the nearest. Now subtract 7680 from 9600 to get reminder 1920. Add 2 to quotient.

$$\begin{array}{l}\phantom{3840)}0002\phantom{8}\\3840\overline{)9600}\\\phantom{3840)}\underline{\phantom{}7680\phantom{}}\\\phantom{3840)}1920\\\end{array}$$

Since 1920 is less than 3840, stop the division. The reminder is 1920. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }1920$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$