Solve 6000div18

$$6000 \div 18$$

Evaluate

$$\frac{1000}{3}\approx 333.333333333$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)6000}\\\end{array}$$

Since 6 is less than 18, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)6000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)6000}\\\end{array}$$

Find closest multiple of 18 to 60. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 60 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{18)}03\phantom{4}\\18\overline{)6000}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}6\\\end{array}$$

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

$$\begin{array}{l}\phantom{18)}03\phantom{5}\\18\overline{)6000}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}60\\\end{array}$$

Find closest multiple of 18 to 60. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 60 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{18)}033\phantom{6}\\18\overline{)6000}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}60\\\phantom{18)}\underline{\phantom{9}54\phantom{9}}\\\phantom{18)99}6\\\end{array}$$

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

$$\begin{array}{l}\phantom{18)}033\phantom{7}\\18\overline{)6000}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}60\\\phantom{18)}\underline{\phantom{9}54\phantom{9}}\\\phantom{18)99}60\\\end{array}$$

Find closest multiple of 18 to 60. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 60 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{18)}0333\phantom{8}\\18\overline{)6000}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}60\\\phantom{18)}\underline{\phantom{9}54\phantom{9}}\\\phantom{18)99}60\\\phantom{18)}\underline{\phantom{99}54\phantom{}}\\\phantom{18)999}6\\\end{array}$$

Since 6 is less than 18, stop the division. The reminder is 6. The topmost line 0333 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 333.

$$\text{Quotient: }333 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{3} = 333\frac{1}{3} = 333.3333333333333$$