Solve 9,801/99

$$\frac { 9,801 } { 99 }$$

Evaluate

$$99$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9801

$$\begin{array}{l}\phantom{99)}\phantom{1}\\99\overline{)9801}\\\end{array}$$

Since 9 is less than 99, use the next digit 8 from dividend 9801 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}0\phantom{2}\\99\overline{)9801}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 9801

$$\begin{array}{l}\phantom{99)}0\phantom{3}\\99\overline{)9801}\\\end{array}$$

Since 98 is less than 99, use the next digit 0 from dividend 9801 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}00\phantom{4}\\99\overline{)9801}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9801

$$\begin{array}{l}\phantom{99)}00\phantom{5}\\99\overline{)9801}\\\end{array}$$

Find closest multiple of 99 to 980. We see that 9 \times 99 = 891 is the nearest. Now subtract 891 from 980 to get reminder 89. Add 9 to quotient.

$$\begin{array}{l}\phantom{99)}009\phantom{6}\\99\overline{)9801}\\\phantom{99)}\underline{\phantom{}891\phantom{9}}\\\phantom{99)9}89\\\end{array}$$

Use the 4^{th} digit 1 from dividend 9801

$$\begin{array}{l}\phantom{99)}009\phantom{7}\\99\overline{)9801}\\\phantom{99)}\underline{\phantom{}891\phantom{9}}\\\phantom{99)9}891\\\end{array}$$

Find closest multiple of 99 to 891. We see that 9 \times 99 = 891 is the nearest. Now subtract 891 from 891 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{99)}0099\phantom{8}\\99\overline{)9801}\\\phantom{99)}\underline{\phantom{}891\phantom{9}}\\\phantom{99)9}891\\\phantom{99)}\underline{\phantom{9}891\phantom{}}\\\phantom{99)9999}0\\\end{array}$$

Since 0 is less than 99, stop the division. The reminder is 0. The topmost line 0099 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 99.

$$\text{Quotient: }99 \text{Reminder: }0$$

Factor

$$3^{2}\times 11$$