Solve 2086div30

$$2086 \div 30$$

Evaluate

$$\frac{1043}{15}\approx 69.533333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2086

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)2086}\\\end{array}$$

Since 2 is less than 30, use the next digit 0 from dividend 2086 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)2086}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2086

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)2086}\\\end{array}$$

Since 20 is less than 30, use the next digit 8 from dividend 2086 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)2086}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2086

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)2086}\\\end{array}$$

Find closest multiple of 30 to 208. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 208 to get reminder 28. Add 6 to quotient.

$$\begin{array}{l}\phantom{30)}006\phantom{6}\\30\overline{)2086}\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)9}28\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2086

$$\begin{array}{l}\phantom{30)}006\phantom{7}\\30\overline{)2086}\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)9}286\\\end{array}$$

Find closest multiple of 30 to 286. We see that 9 \times 30 = 270 is the nearest. Now subtract 270 from 286 to get reminder 16. Add 9 to quotient.

$$\begin{array}{l}\phantom{30)}0069\phantom{8}\\30\overline{)2086}\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)9}286\\\phantom{30)}\underline{\phantom{9}270\phantom{}}\\\phantom{30)99}16\\\end{array}$$

Since 16 is less than 30, stop the division. The reminder is 16. The topmost line 0069 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 69.

$$\text{Quotient: }69 \text{Reminder: }16$$

Factor

$$\frac{7 \cdot 149}{3 \cdot 5} = 69\frac{8}{15} = 69.53333333333333$$