Solve 46656div216

$$46656 \div 216$$

Evaluate

$$216$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 46656

$$\begin{array}{l}\phantom{216)}\phantom{1}\\216\overline{)46656}\\\end{array}$$

Since 4 is less than 216, use the next digit 6 from dividend 46656 and add 0 to the quotient

$$\begin{array}{l}\phantom{216)}0\phantom{2}\\216\overline{)46656}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 46656

$$\begin{array}{l}\phantom{216)}0\phantom{3}\\216\overline{)46656}\\\end{array}$$

Since 46 is less than 216, use the next digit 6 from dividend 46656 and add 0 to the quotient

$$\begin{array}{l}\phantom{216)}00\phantom{4}\\216\overline{)46656}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 46656

$$\begin{array}{l}\phantom{216)}00\phantom{5}\\216\overline{)46656}\\\end{array}$$

Find closest multiple of 216 to 466. We see that 2 \times 216 = 432 is the nearest. Now subtract 432 from 466 to get reminder 34. Add 2 to quotient.

$$\begin{array}{l}\phantom{216)}002\phantom{6}\\216\overline{)46656}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)9}34\\\end{array}$$

Use the 4^{th} digit 5 from dividend 46656

$$\begin{array}{l}\phantom{216)}002\phantom{7}\\216\overline{)46656}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)9}345\\\end{array}$$

Find closest multiple of 216 to 345. We see that 1 \times 216 = 216 is the nearest. Now subtract 216 from 345 to get reminder 129. Add 1 to quotient.

$$\begin{array}{l}\phantom{216)}0021\phantom{8}\\216\overline{)46656}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)9}345\\\phantom{216)}\underline{\phantom{9}216\phantom{9}}\\\phantom{216)9}129\\\end{array}$$

Use the 5^{th} digit 6 from dividend 46656

$$\begin{array}{l}\phantom{216)}0021\phantom{9}\\216\overline{)46656}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)9}345\\\phantom{216)}\underline{\phantom{9}216\phantom{9}}\\\phantom{216)9}1296\\\end{array}$$

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.

$$\begin{array}{l}\phantom{216)}00216\phantom{10}\\216\overline{)46656}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)9}345\\\phantom{216)}\underline{\phantom{9}216\phantom{9}}\\\phantom{216)9}1296\\\phantom{216)}\underline{\phantom{9}1296\phantom{}}\\\phantom{216)99999}0\\\end{array}$$

Since 0 is less than 216, stop the division. The reminder is 0. The topmost line 00216 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 216.

$$\text{Quotient: }216 \text{Reminder: }0$$

Factor

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