Solve 46656div27

$$46656 \div 27$$

Evaluate

$$1728$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)46656}\\\end{array}$$

Since 4 is less than 27, use the next digit 6 from dividend 46656 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)46656}\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)46656}\\\end{array}$$

Find closest multiple of 27 to 46. We see that 1 \times 27 = 27 is the nearest. Now subtract 27 from 46 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)46656}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)}19\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}01\phantom{5}\\27\overline{)46656}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)}196\\\end{array}$$

Find closest multiple of 27 to 196. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 196 to get reminder 7. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}017\phantom{6}\\27\overline{)46656}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)}196\\\phantom{27)}\underline{\phantom{}189\phantom{99}}\\\phantom{27)99}7\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}017\phantom{7}\\27\overline{)46656}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)}196\\\phantom{27)}\underline{\phantom{}189\phantom{99}}\\\phantom{27)99}75\\\end{array}$$

Find closest multiple of 27 to 75. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 75 to get reminder 21. Add 2 to quotient.

$$\begin{array}{l}\phantom{27)}0172\phantom{8}\\27\overline{)46656}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)}196\\\phantom{27)}\underline{\phantom{}189\phantom{99}}\\\phantom{27)99}75\\\phantom{27)}\underline{\phantom{99}54\phantom{9}}\\\phantom{27)99}21\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}0172\phantom{9}\\27\overline{)46656}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)}196\\\phantom{27)}\underline{\phantom{}189\phantom{99}}\\\phantom{27)99}75\\\phantom{27)}\underline{\phantom{99}54\phantom{9}}\\\phantom{27)99}216\\\end{array}$$

Find closest multiple of 27 to 216. We see that 8 \times 27 = 216 is the nearest. Now subtract 216 from 216 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{27)}01728\phantom{10}\\27\overline{)46656}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)}196\\\phantom{27)}\underline{\phantom{}189\phantom{99}}\\\phantom{27)99}75\\\phantom{27)}\underline{\phantom{99}54\phantom{9}}\\\phantom{27)99}216\\\phantom{27)}\underline{\phantom{99}216\phantom{}}\\\phantom{27)99999}0\\\end{array}$$

Since 0 is less than 27, stop the division. The reminder is 0. The topmost line 01728 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1728.

$$\text{Quotient: }1728 \text{Reminder: }0$$

Factor

$$2^{6}\times 3^{3}$$