Solve 6561div81

$$6561 \div 81$$

Evaluate

$$81$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6561

$$\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)6561}\\\end{array}$$

Since 6 is less than 81, use the next digit 5 from dividend 6561 and add 0 to the quotient

$$\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)6561}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 6561

$$\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)6561}\\\end{array}$$

Since 65 is less than 81, use the next digit 6 from dividend 6561 and add 0 to the quotient

$$\begin{array}{l}\phantom{81)}00\phantom{4}\\81\overline{)6561}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 6561

$$\begin{array}{l}\phantom{81)}00\phantom{5}\\81\overline{)6561}\\\end{array}$$

Find closest multiple of 81 to 656. We see that 8 \times 81 = 648 is the nearest. Now subtract 648 from 656 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{81)}008\phantom{6}\\81\overline{)6561}\\\phantom{81)}\underline{\phantom{}648\phantom{9}}\\\phantom{81)99}8\\\end{array}$$

Use the 4^{th} digit 1 from dividend 6561

$$\begin{array}{l}\phantom{81)}008\phantom{7}\\81\overline{)6561}\\\phantom{81)}\underline{\phantom{}648\phantom{9}}\\\phantom{81)99}81\\\end{array}$$

Find closest multiple of 81 to 81. We see that 1 \times 81 = 81 is the nearest. Now subtract 81 from 81 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{81)}0081\phantom{8}\\81\overline{)6561}\\\phantom{81)}\underline{\phantom{}648\phantom{9}}\\\phantom{81)99}81\\\phantom{81)}\underline{\phantom{99}81\phantom{}}\\\phantom{81)9999}0\\\end{array}$$

Since 0 is less than 81, stop the division. The reminder is 0. The topmost line 0081 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

$$3^{4}$$