Solve 7776/216

$$\frac{ 7776 }{ 216 }$$

Evaluate

$$36$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7776

$$\begin{array}{l}\phantom{216)}\phantom{1}\\216\overline{)7776}\\\end{array}$$

Since 7 is less than 216, use the next digit 7 from dividend 7776 and add 0 to the quotient

$$\begin{array}{l}\phantom{216)}0\phantom{2}\\216\overline{)7776}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 7776

$$\begin{array}{l}\phantom{216)}0\phantom{3}\\216\overline{)7776}\\\end{array}$$

Since 77 is less than 216, use the next digit 7 from dividend 7776 and add 0 to the quotient

$$\begin{array}{l}\phantom{216)}00\phantom{4}\\216\overline{)7776}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 7776

$$\begin{array}{l}\phantom{216)}00\phantom{5}\\216\overline{)7776}\\\end{array}$$

Find closest multiple of 216 to 777. We see that 3 \times 216 = 648 is the nearest. Now subtract 648 from 777 to get reminder 129. Add 3 to quotient.

$$\begin{array}{l}\phantom{216)}003\phantom{6}\\216\overline{)7776}\\\phantom{216)}\underline{\phantom{}648\phantom{9}}\\\phantom{216)}129\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7776

$$\begin{array}{l}\phantom{216)}003\phantom{7}\\216\overline{)7776}\\\phantom{216)}\underline{\phantom{}648\phantom{9}}\\\phantom{216)}1296\\\end{array}$$

Find closest multiple of 216 to 1296. We see that 6 \times 216 = 1296 is the nearest. Now subtract 1296 from 1296 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{216)}0036\phantom{8}\\216\overline{)7776}\\\phantom{216)}\underline{\phantom{}648\phantom{9}}\\\phantom{216)}1296\\\phantom{216)}\underline{\phantom{}1296\phantom{}}\\\phantom{216)9999}0\\\end{array}$$

Since 0 is less than 216, stop the division. The reminder is 0. The topmost line 0036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }0$$

Factor

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