Solve 6000div180

$$6000 \div 180$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6000

$$\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)6000}\\\end{array}$$

Since 6 is less than 180, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)6000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)6000}\\\end{array}$$

Since 60 is less than 180, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)6000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)6000}\\\end{array}$$

Find closest multiple of 180 to 600. We see that 3 \times 180 = 540 is the nearest. Now subtract 540 from 600 to get reminder 60. Add 3 to quotient.

$$\begin{array}{l}\phantom{180)}003\phantom{6}\\180\overline{)6000}\\\phantom{180)}\underline{\phantom{}540\phantom{9}}\\\phantom{180)9}60\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{180)}003\phantom{7}\\180\overline{)6000}\\\phantom{180)}\underline{\phantom{}540\phantom{9}}\\\phantom{180)9}600\\\end{array}$$

Find closest multiple of 180 to 600. We see that 3 \times 180 = 540 is the nearest. Now subtract 540 from 600 to get reminder 60. Add 3 to quotient.

$$\begin{array}{l}\phantom{180)}0033\phantom{8}\\180\overline{)6000}\\\phantom{180)}\underline{\phantom{}540\phantom{9}}\\\phantom{180)9}600\\\phantom{180)}\underline{\phantom{9}540\phantom{}}\\\phantom{180)99}60\\\end{array}$$

Since 60 is less than 180, stop the division. The reminder is 60. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }60$$

Factor

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