Solve 9999%

$$9999 \%$$

Evaluate

$$\frac{9999}{100}=99.99$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)9999}\\\end{array}$$

Since 9 is less than 100, use the next digit 9 from dividend 9999 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)9999}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)9999}\\\end{array}$$

Since 99 is less than 100, use the next digit 9 from dividend 9999 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)9999}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)9999}\\\end{array}$$

Find closest multiple of 100 to 999. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 999 to get reminder 99. Add 9 to quotient.

$$\begin{array}{l}\phantom{100)}009\phantom{6}\\100\overline{)9999}\\\phantom{100)}\underline{\phantom{}900\phantom{9}}\\\phantom{100)9}99\\\end{array}$$

Use the 4^{th} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{100)}009\phantom{7}\\100\overline{)9999}\\\phantom{100)}\underline{\phantom{}900\phantom{9}}\\\phantom{100)9}999\\\end{array}$$

Find closest multiple of 100 to 999. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 999 to get reminder 99. Add 9 to quotient.

$$\begin{array}{l}\phantom{100)}0099\phantom{8}\\100\overline{)9999}\\\phantom{100)}\underline{\phantom{}900\phantom{9}}\\\phantom{100)9}999\\\phantom{100)}\underline{\phantom{9}900\phantom{}}\\\phantom{100)99}99\\\end{array}$$

Since 99 is less than 100, stop the division. The reminder is 99. The topmost line 0099 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 99.

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

Factor

$$\frac{3 ^ {2} \cdot 11 \cdot 101}{2 ^ {2} \cdot 5 ^ {2}} = 99\frac{99}{100} = 99.99$$