Solve 6000div108

$$6000 \div 108$$

Evaluate

$$\frac{500}{9}\approx 55.555555556$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{108)}\phantom{1}\\108\overline{)6000}\\\end{array}$$

Since 6 is less than 108, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}0\phantom{2}\\108\overline{)6000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{108)}0\phantom{3}\\108\overline{)6000}\\\end{array}$$

Since 60 is less than 108, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}00\phantom{4}\\108\overline{)6000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{108)}00\phantom{5}\\108\overline{)6000}\\\end{array}$$

Find closest multiple of 108 to 600. We see that 5 \times 108 = 540 is the nearest. Now subtract 540 from 600 to get reminder 60. Add 5 to quotient.

$$\begin{array}{l}\phantom{108)}005\phantom{6}\\108\overline{)6000}\\\phantom{108)}\underline{\phantom{}540\phantom{9}}\\\phantom{108)9}60\\\end{array}$$

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

$$\begin{array}{l}\phantom{108)}005\phantom{7}\\108\overline{)6000}\\\phantom{108)}\underline{\phantom{}540\phantom{9}}\\\phantom{108)9}600\\\end{array}$$

Find closest multiple of 108 to 600. We see that 5 \times 108 = 540 is the nearest. Now subtract 540 from 600 to get reminder 60. Add 5 to quotient.

$$\begin{array}{l}\phantom{108)}0055\phantom{8}\\108\overline{)6000}\\\phantom{108)}\underline{\phantom{}540\phantom{9}}\\\phantom{108)9}600\\\phantom{108)}\underline{\phantom{9}540\phantom{}}\\\phantom{108)99}60\\\end{array}$$

Since 60 is less than 108, stop the division. The reminder is 60. The topmost line 0055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.

$$\text{Quotient: }55 \text{Reminder: }60$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{3 ^ {2}} = 55\frac{5}{9} = 55.55555555555556$$