Solve 1296:18

$$1296 : 18$$

Evaluate

$$72$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)1296}\\\end{array}$$

Since 1 is less than 18, use the next digit 2 from dividend 1296 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)1296}\\\end{array}$$

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

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)1296}\\\end{array}$$

Since 12 is less than 18, use the next digit 9 from dividend 1296 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}00\phantom{4}\\18\overline{)1296}\\\end{array}$$

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

$$\begin{array}{l}\phantom{18)}00\phantom{5}\\18\overline{)1296}\\\end{array}$$

Find closest multiple of 18 to 129. We see that 7 \times 18 = 126 is the nearest. Now subtract 126 from 129 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{18)}007\phantom{6}\\18\overline{)1296}\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)99}3\\\end{array}$$

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

$$\begin{array}{l}\phantom{18)}007\phantom{7}\\18\overline{)1296}\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)99}36\\\end{array}$$

Find closest multiple of 18 to 36. We see that 2 \times 18 = 36 is the nearest. Now subtract 36 from 36 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{18)}0072\phantom{8}\\18\overline{)1296}\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)99}36\\\phantom{18)}\underline{\phantom{99}36\phantom{}}\\\phantom{18)9999}0\\\end{array}$$

Since 0 is less than 18, stop the division. The reminder is 0. The topmost line 0072 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 72.

$$\text{Quotient: }72 \text{Reminder: }0$$

Factor

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