Solve 2000div60

$$2000 \div 60$$

Evaluate

$$\frac{100}{3}\approx 33.333333333$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)2000}\\\end{array}$$

Since 2 is less than 60, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)2000}\\\end{array}$$

Since 20 is less than 60, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)2000}\\\end{array}$$

Find closest multiple of 60 to 200. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 200 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{60)}003\phantom{6}\\60\overline{)2000}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}20\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}003\phantom{7}\\60\overline{)2000}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}200\\\end{array}$$

Find closest multiple of 60 to 200. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 200 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{60)}0033\phantom{8}\\60\overline{)2000}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}200\\\phantom{60)}\underline{\phantom{9}180\phantom{}}\\\phantom{60)99}20\\\end{array}$$

Since 20 is less than 60, stop the division. The reminder is 20. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }20$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3} = 33\frac{1}{3} = 33.333333333333336$$