Solve 531441/6561

$$\frac { 531441 } { 6561 }$$

Evaluate

$$81$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 531441

$$\begin{array}{l}\phantom{6561)}\phantom{1}\\6561\overline{)531441}\\\end{array}$$

Since 5 is less than 6561, use the next digit 3 from dividend 531441 and add 0 to the quotient

$$\begin{array}{l}\phantom{6561)}0\phantom{2}\\6561\overline{)531441}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 531441

$$\begin{array}{l}\phantom{6561)}0\phantom{3}\\6561\overline{)531441}\\\end{array}$$

Since 53 is less than 6561, use the next digit 1 from dividend 531441 and add 0 to the quotient

$$\begin{array}{l}\phantom{6561)}00\phantom{4}\\6561\overline{)531441}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 531441

$$\begin{array}{l}\phantom{6561)}00\phantom{5}\\6561\overline{)531441}\\\end{array}$$

Since 531 is less than 6561, use the next digit 4 from dividend 531441 and add 0 to the quotient

$$\begin{array}{l}\phantom{6561)}000\phantom{6}\\6561\overline{)531441}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 531441

$$\begin{array}{l}\phantom{6561)}000\phantom{7}\\6561\overline{)531441}\\\end{array}$$

Since 5314 is less than 6561, use the next digit 4 from dividend 531441 and add 0 to the quotient

$$\begin{array}{l}\phantom{6561)}0000\phantom{8}\\6561\overline{)531441}\\\end{array}$$

Use the 5^{th} digit 4 from dividend 531441

$$\begin{array}{l}\phantom{6561)}0000\phantom{9}\\6561\overline{)531441}\\\end{array}$$

Find closest multiple of 6561 to 53144. We see that 8 \times 6561 = 52488 is the nearest. Now subtract 52488 from 53144 to get reminder 656. Add 8 to quotient.

$$\begin{array}{l}\phantom{6561)}00008\phantom{10}\\6561\overline{)531441}\\\phantom{6561)}\underline{\phantom{}52488\phantom{9}}\\\phantom{6561)99}656\\\end{array}$$

Use the 6^{th} digit 1 from dividend 531441

$$\begin{array}{l}\phantom{6561)}00008\phantom{11}\\6561\overline{)531441}\\\phantom{6561)}\underline{\phantom{}52488\phantom{9}}\\\phantom{6561)99}6561\\\end{array}$$

Find closest multiple of 6561 to 6561. We see that 1 \times 6561 = 6561 is the nearest. Now subtract 6561 from 6561 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{6561)}000081\phantom{12}\\6561\overline{)531441}\\\phantom{6561)}\underline{\phantom{}52488\phantom{9}}\\\phantom{6561)99}6561\\\phantom{6561)}\underline{\phantom{99}6561\phantom{}}\\\phantom{6561)999999}0\\\end{array}$$

Since 0 is less than 6561, stop the division. The reminder is 0. The topmost line 000081 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 81.

$$\text{Quotient: }81 \text{Reminder: }0$$

Factor

$$3^{4}$$