Solve 2090:30

$$2090 : 30$$

Evaluate

$$\frac{209}{3}\approx 69.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2090

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)2090}\\\end{array}$$

Since 2 is less than 30, use the next digit 0 from dividend 2090 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)2090}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2090

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)2090}\\\end{array}$$

Since 20 is less than 30, use the next digit 9 from dividend 2090 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)2090}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 2090

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)2090}\\\end{array}$$

Find closest multiple of 30 to 209. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 209 to get reminder 29. Add 6 to quotient.

$$\begin{array}{l}\phantom{30)}006\phantom{6}\\30\overline{)2090}\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)9}29\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2090

$$\begin{array}{l}\phantom{30)}006\phantom{7}\\30\overline{)2090}\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)9}290\\\end{array}$$

Find closest multiple of 30 to 290. We see that 9 \times 30 = 270 is the nearest. Now subtract 270 from 290 to get reminder 20. Add 9 to quotient.

$$\begin{array}{l}\phantom{30)}0069\phantom{8}\\30\overline{)2090}\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)9}290\\\phantom{30)}\underline{\phantom{9}270\phantom{}}\\\phantom{30)99}20\\\end{array}$$

Since 20 is less than 30, stop the division. The reminder is 20. The topmost line 0069 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 69.

$$\text{Quotient: }69 \text{Reminder: }20$$

Factor

$$\frac{11 \cdot 19}{3} = 69\frac{2}{3} = 69.66666666666667$$