Solve 2010/55

$$\frac { 2010 } { 55 }$$

Evaluate

$$\frac{402}{11}\approx 36.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2010

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)2010}\\\end{array}$$

Since 2 is less than 55, use the next digit 0 from dividend 2010 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)2010}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2010

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)2010}\\\end{array}$$

Since 20 is less than 55, use the next digit 1 from dividend 2010 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)2010}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2010

$$\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)2010}\\\end{array}$$

Find closest multiple of 55 to 201. We see that 3 \times 55 = 165 is the nearest. Now subtract 165 from 201 to get reminder 36. Add 3 to quotient.

$$\begin{array}{l}\phantom{55)}003\phantom{6}\\55\overline{)2010}\\\phantom{55)}\underline{\phantom{}165\phantom{9}}\\\phantom{55)9}36\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2010

$$\begin{array}{l}\phantom{55)}003\phantom{7}\\55\overline{)2010}\\\phantom{55)}\underline{\phantom{}165\phantom{9}}\\\phantom{55)9}360\\\end{array}$$

Find closest multiple of 55 to 360. We see that 6 \times 55 = 330 is the nearest. Now subtract 330 from 360 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{55)}0036\phantom{8}\\55\overline{)2010}\\\phantom{55)}\underline{\phantom{}165\phantom{9}}\\\phantom{55)9}360\\\phantom{55)}\underline{\phantom{9}330\phantom{}}\\\phantom{55)99}30\\\end{array}$$

Since 30 is less than 55, stop the division. The reminder is 30. The topmost line 0036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }30$$

Factor

$$\frac{2 \cdot 3 \cdot 67}{11} = 36\frac{6}{11} = 36.54545454545455$$