Solve 1200/18

$$\frac { 1200 } { 18 }$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1200

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)1200}\\\end{array}$$

Since 1 is less than 18, use the next digit 2 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)1200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1200

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)1200}\\\end{array}$$

Since 12 is less than 18, use the next digit 0 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}00\phantom{4}\\18\overline{)1200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{18)}00\phantom{5}\\18\overline{)1200}\\\end{array}$$

Find closest multiple of 18 to 120. We see that 6 \times 18 = 108 is the nearest. Now subtract 108 from 120 to get reminder 12. Add 6 to quotient.

$$\begin{array}{l}\phantom{18)}006\phantom{6}\\18\overline{)1200}\\\phantom{18)}\underline{\phantom{}108\phantom{9}}\\\phantom{18)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{18)}006\phantom{7}\\18\overline{)1200}\\\phantom{18)}\underline{\phantom{}108\phantom{9}}\\\phantom{18)9}120\\\end{array}$$

Find closest multiple of 18 to 120. We see that 6 \times 18 = 108 is the nearest. Now subtract 108 from 120 to get reminder 12. Add 6 to quotient.

$$\begin{array}{l}\phantom{18)}0066\phantom{8}\\18\overline{)1200}\\\phantom{18)}\underline{\phantom{}108\phantom{9}}\\\phantom{18)9}120\\\phantom{18)}\underline{\phantom{9}108\phantom{}}\\\phantom{18)99}12\\\end{array}$$

Since 12 is less than 18, stop the division. The reminder is 12. The topmost line 0066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.

$$\text{Quotient: }66 \text{Reminder: }12$$

Factor

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