Solve 1296/576

$$\frac{ 1296 }{ 576 }$$

Evaluate

$$\frac{9}{4}=2.25$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1296

$$\begin{array}{l}\phantom{576)}\phantom{1}\\576\overline{)1296}\\\end{array}$$

Since 1 is less than 576, use the next digit 2 from dividend 1296 and add 0 to the quotient

$$\begin{array}{l}\phantom{576)}0\phantom{2}\\576\overline{)1296}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1296

$$\begin{array}{l}\phantom{576)}0\phantom{3}\\576\overline{)1296}\\\end{array}$$

Since 12 is less than 576, use the next digit 9 from dividend 1296 and add 0 to the quotient

$$\begin{array}{l}\phantom{576)}00\phantom{4}\\576\overline{)1296}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1296

$$\begin{array}{l}\phantom{576)}00\phantom{5}\\576\overline{)1296}\\\end{array}$$

Since 129 is less than 576, use the next digit 6 from dividend 1296 and add 0 to the quotient

$$\begin{array}{l}\phantom{576)}000\phantom{6}\\576\overline{)1296}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1296

$$\begin{array}{l}\phantom{576)}000\phantom{7}\\576\overline{)1296}\\\end{array}$$

Find closest multiple of 576 to 1296. We see that 2 \times 576 = 1152 is the nearest. Now subtract 1152 from 1296 to get reminder 144. Add 2 to quotient.

$$\begin{array}{l}\phantom{576)}0002\phantom{8}\\576\overline{)1296}\\\phantom{576)}\underline{\phantom{}1152\phantom{}}\\\phantom{576)9}144\\\end{array}$$

Since 144 is less than 576, stop the division. The reminder is 144. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }144$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$