Solve 3000div90

$$3000 \div 90$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3000

$$\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)3000}\\\end{array}$$

Since 3 is less than 90, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)3000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)3000}\\\end{array}$$

Since 30 is less than 90, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)3000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)3000}\\\end{array}$$

Find closest multiple of 90 to 300. We see that 3 \times 90 = 270 is the nearest. Now subtract 270 from 300 to get reminder 30. Add 3 to quotient.

$$\begin{array}{l}\phantom{90)}003\phantom{6}\\90\overline{)3000}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}30\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{90)}003\phantom{7}\\90\overline{)3000}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}300\\\end{array}$$

Find closest multiple of 90 to 300. We see that 3 \times 90 = 270 is the nearest. Now subtract 270 from 300 to get reminder 30. Add 3 to quotient.

$$\begin{array}{l}\phantom{90)}0033\phantom{8}\\90\overline{)3000}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}300\\\phantom{90)}\underline{\phantom{9}270\phantom{}}\\\phantom{90)99}30\\\end{array}$$

Since 30 is less than 90, stop the division. The reminder is 30. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }30$$

Factor

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