Solve 40000div3000

$$40000 \div 3000$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 40000

$$\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)40000}\\\end{array}$$

Since 4 is less than 3000, use the next digit 0 from dividend 40000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)40000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)40000}\\\end{array}$$

Since 40 is less than 3000, use the next digit 0 from dividend 40000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)40000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)40000}\\\end{array}$$

Since 400 is less than 3000, use the next digit 0 from dividend 40000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)40000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)40000}\\\end{array}$$

Find closest multiple of 3000 to 4000. We see that 1 \times 3000 = 3000 is the nearest. Now subtract 3000 from 4000 to get reminder 1000. Add 1 to quotient.

$$\begin{array}{l}\phantom{3000)}0001\phantom{8}\\3000\overline{)40000}\\\phantom{3000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{3000)}1000\\\end{array}$$

Use the 5^{th} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{3000)}0001\phantom{9}\\3000\overline{)40000}\\\phantom{3000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{3000)}10000\\\end{array}$$

Find closest multiple of 3000 to 10000. We see that 3 \times 3000 = 9000 is the nearest. Now subtract 9000 from 10000 to get reminder 1000. Add 3 to quotient.

$$\begin{array}{l}\phantom{3000)}00013\phantom{10}\\3000\overline{)40000}\\\phantom{3000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{3000)}10000\\\phantom{3000)}\underline{\phantom{9}9000\phantom{}}\\\phantom{3000)9}1000\\\end{array}$$

Since 1000 is less than 3000, stop the division. The reminder is 1000. The topmost line 00013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }1000$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$