Solve 19683div729

$$19683 \div 729$$

Evaluate

$$27$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 19683

$$\begin{array}{l}\phantom{729)}\phantom{1}\\729\overline{)19683}\\\end{array}$$

Since 1 is less than 729, use the next digit 9 from dividend 19683 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}0\phantom{2}\\729\overline{)19683}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 19683

$$\begin{array}{l}\phantom{729)}0\phantom{3}\\729\overline{)19683}\\\end{array}$$

Since 19 is less than 729, use the next digit 6 from dividend 19683 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}00\phantom{4}\\729\overline{)19683}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 19683

$$\begin{array}{l}\phantom{729)}00\phantom{5}\\729\overline{)19683}\\\end{array}$$

Since 196 is less than 729, use the next digit 8 from dividend 19683 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}000\phantom{6}\\729\overline{)19683}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 19683

$$\begin{array}{l}\phantom{729)}000\phantom{7}\\729\overline{)19683}\\\end{array}$$

Find closest multiple of 729 to 1968. We see that 2 \times 729 = 1458 is the nearest. Now subtract 1458 from 1968 to get reminder 510. Add 2 to quotient.

$$\begin{array}{l}\phantom{729)}0002\phantom{8}\\729\overline{)19683}\\\phantom{729)}\underline{\phantom{}1458\phantom{9}}\\\phantom{729)9}510\\\end{array}$$

Use the 5^{th} digit 3 from dividend 19683

$$\begin{array}{l}\phantom{729)}0002\phantom{9}\\729\overline{)19683}\\\phantom{729)}\underline{\phantom{}1458\phantom{9}}\\\phantom{729)9}5103\\\end{array}$$

Find closest multiple of 729 to 5103. We see that 7 \times 729 = 5103 is the nearest. Now subtract 5103 from 5103 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{729)}00027\phantom{10}\\729\overline{)19683}\\\phantom{729)}\underline{\phantom{}1458\phantom{9}}\\\phantom{729)9}5103\\\phantom{729)}\underline{\phantom{9}5103\phantom{}}\\\phantom{729)99999}0\\\end{array}$$

Since 0 is less than 729, stop the division. The reminder is 0. The topmost line 00027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }0$$

Factor

$$3^{3}$$