Solve 1296div100

$$1296 \div 100$$

Evaluate

$$\frac{324}{25}=12.96$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1296}\\\end{array}$$

Since 1 is less than 100, use the next digit 2 from dividend 1296 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1296}\\\end{array}$$

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

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1296}\\\end{array}$$

Since 12 is less than 100, use the next digit 9 from dividend 1296 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1296}\\\end{array}$$

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

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1296}\\\end{array}$$

Find closest multiple of 100 to 129. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 129 to get reminder 29. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1296}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}29\\\end{array}$$

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

$$\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1296}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}296\\\end{array}$$

Find closest multiple of 100 to 296. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 296 to get reminder 96. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}0012\phantom{8}\\100\overline{)1296}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}296\\\phantom{100)}\underline{\phantom{9}200\phantom{}}\\\phantom{100)99}96\\\end{array}$$

Since 96 is less than 100, stop the division. The reminder is 96. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }96$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {4}}{5 ^ {2}} = 12\frac{24}{25} = 12.96$$