Solve 200/30

$$\frac { 200 } { 30 }$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 200

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)200}\\\end{array}$$

Since 2 is less than 30, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)200}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)200}\\\end{array}$$

Since 20 is less than 30, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)200}\\\end{array}$$

Find closest multiple of 30 to 200. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 200 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{30)}006\phantom{6}\\30\overline{)200}\\\phantom{30)}\underline{\phantom{}180\phantom{}}\\\phantom{30)9}20\\\end{array}$$

Since 20 is less than 30, stop the division. The reminder is 20. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }20$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$