Solve 20000div3000

$$20000 \div 3000$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20000

$$\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)20000}\\\end{array}$$

Since 2 is less than 3000, use the next digit 0 from dividend 20000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)20000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)20000}\\\end{array}$$

Since 20 is less than 3000, use the next digit 0 from dividend 20000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)20000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)20000}\\\end{array}$$

Since 200 is less than 3000, use the next digit 0 from dividend 20000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)20000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)20000}\\\end{array}$$

Since 2000 is less than 3000, use the next digit 0 from dividend 20000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0000\phantom{8}\\3000\overline{)20000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{3000)}0000\phantom{9}\\3000\overline{)20000}\\\end{array}$$

Find closest multiple of 3000 to 20000. We see that 6 \times 3000 = 18000 is the nearest. Now subtract 18000 from 20000 to get reminder 2000. Add 6 to quotient.

$$\begin{array}{l}\phantom{3000)}00006\phantom{10}\\3000\overline{)20000}\\\phantom{3000)}\underline{\phantom{}18000\phantom{}}\\\phantom{3000)9}2000\\\end{array}$$

Since 2000 is less than 3000, stop the division. The reminder is 2000. The topmost line 00006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }2000$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$