Solve 2000div24

$$2000 \div 24$$

Evaluate

$$\frac{250}{3}\approx 83.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2000

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2000}\\\end{array}$$

Since 2 is less than 24, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2000}\\\end{array}$$

Since 20 is less than 24, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)2000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)2000}\\\end{array}$$

Find closest multiple of 24 to 200. We see that 8 \times 24 = 192 is the nearest. Now subtract 192 from 200 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{24)}008\phantom{6}\\24\overline{)2000}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)99}8\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{24)}008\phantom{7}\\24\overline{)2000}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)99}80\\\end{array}$$

Find closest multiple of 24 to 80. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 80 to get reminder 8. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}0083\phantom{8}\\24\overline{)2000}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)99}80\\\phantom{24)}\underline{\phantom{99}72\phantom{}}\\\phantom{24)999}8\\\end{array}$$

Since 8 is less than 24, stop the division. The reminder is 8. The topmost line 0083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.

$$\text{Quotient: }83 \text{Reminder: }8$$

Factor

$$\frac{2 \cdot 5 ^ {3}}{3} = 83\frac{1}{3} = 83.33333333333333$$