Solve 2000div84

$$2000 \div 84$$

Evaluate

$$\frac{500}{21}\approx 23.80952381$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{84)}\phantom{1}\\84\overline{)2000}\\\end{array}$$

Since 2 is less than 84, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}0\phantom{2}\\84\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{84)}0\phantom{3}\\84\overline{)2000}\\\end{array}$$

Since 20 is less than 84, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}00\phantom{4}\\84\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{84)}00\phantom{5}\\84\overline{)2000}\\\end{array}$$

Find closest multiple of 84 to 200. We see that 2 \times 84 = 168 is the nearest. Now subtract 168 from 200 to get reminder 32. Add 2 to quotient.

$$\begin{array}{l}\phantom{84)}002\phantom{6}\\84\overline{)2000}\\\phantom{84)}\underline{\phantom{}168\phantom{9}}\\\phantom{84)9}32\\\end{array}$$

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

$$\begin{array}{l}\phantom{84)}002\phantom{7}\\84\overline{)2000}\\\phantom{84)}\underline{\phantom{}168\phantom{9}}\\\phantom{84)9}320\\\end{array}$$

Find closest multiple of 84 to 320. We see that 3 \times 84 = 252 is the nearest. Now subtract 252 from 320 to get reminder 68. Add 3 to quotient.

$$\begin{array}{l}\phantom{84)}0023\phantom{8}\\84\overline{)2000}\\\phantom{84)}\underline{\phantom{}168\phantom{9}}\\\phantom{84)9}320\\\phantom{84)}\underline{\phantom{9}252\phantom{}}\\\phantom{84)99}68\\\end{array}$$

Since 68 is less than 84, stop the division. The reminder is 68. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }68$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{3 \cdot 7} = 23\frac{17}{21} = 23.80952380952381$$