Solve 3000div45

$$3000 \div 45$$

Evaluate

$$\frac{200}{3}\approx 66.666666667$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)3000}\\\end{array}$$

Since 3 is less than 45, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)3000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)3000}\\\end{array}$$

Since 30 is less than 45, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)3000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)3000}\\\end{array}$$

Find closest multiple of 45 to 300. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 300 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}006\phantom{6}\\45\overline{)3000}\\\phantom{45)}\underline{\phantom{}270\phantom{9}}\\\phantom{45)9}30\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}006\phantom{7}\\45\overline{)3000}\\\phantom{45)}\underline{\phantom{}270\phantom{9}}\\\phantom{45)9}300\\\end{array}$$

Find closest multiple of 45 to 300. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 300 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}0066\phantom{8}\\45\overline{)3000}\\\phantom{45)}\underline{\phantom{}270\phantom{9}}\\\phantom{45)9}300\\\phantom{45)}\underline{\phantom{9}270\phantom{}}\\\phantom{45)99}30\\\end{array}$$

Since 30 is less than 45, stop the division. The reminder is 30. The topmost line 0066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.

$$\text{Quotient: }66 \text{Reminder: }30$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3} = 66\frac{2}{3} = 66.66666666666667$$