Solve 9999/500

$$\frac { 9999 } { 500 }$$

Evaluate

$$\frac{9999}{500}=19.998$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)9999}\\\end{array}$$

Since 9 is less than 500, use the next digit 9 from dividend 9999 and add 0 to the quotient

$$\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)9999}\\\end{array}$$

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

$$\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)9999}\\\end{array}$$

Since 99 is less than 500, use the next digit 9 from dividend 9999 and add 0 to the quotient

$$\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)9999}\\\end{array}$$

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

$$\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)9999}\\\end{array}$$

Find closest multiple of 500 to 999. We see that 1 \times 500 = 500 is the nearest. Now subtract 500 from 999 to get reminder 499. Add 1 to quotient.

$$\begin{array}{l}\phantom{500)}001\phantom{6}\\500\overline{)9999}\\\phantom{500)}\underline{\phantom{}500\phantom{9}}\\\phantom{500)}499\\\end{array}$$

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

$$\begin{array}{l}\phantom{500)}001\phantom{7}\\500\overline{)9999}\\\phantom{500)}\underline{\phantom{}500\phantom{9}}\\\phantom{500)}4999\\\end{array}$$

Find closest multiple of 500 to 4999. We see that 9 \times 500 = 4500 is the nearest. Now subtract 4500 from 4999 to get reminder 499. Add 9 to quotient.

$$\begin{array}{l}\phantom{500)}0019\phantom{8}\\500\overline{)9999}\\\phantom{500)}\underline{\phantom{}500\phantom{9}}\\\phantom{500)}4999\\\phantom{500)}\underline{\phantom{}4500\phantom{}}\\\phantom{500)9}499\\\end{array}$$

Since 499 is less than 500, stop the division. The reminder is 499. The topmost line 0019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }499$$

Factor

$$\frac{3 ^ {2} \cdot 11 \cdot 101}{2 ^ {2} \cdot 5 ^ {3}} = 19\frac{499}{500} = 19.998$$