Solve 300/66

$$\frac { 300 } { 66 }$$

Evaluate

$$\frac{50}{11}\approx 4.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 300

$$\begin{array}{l}\phantom{66)}\phantom{1}\\66\overline{)300}\\\end{array}$$

Since 3 is less than 66, use the next digit 0 from dividend 300 and add 0 to the quotient

$$\begin{array}{l}\phantom{66)}0\phantom{2}\\66\overline{)300}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 300

$$\begin{array}{l}\phantom{66)}0\phantom{3}\\66\overline{)300}\\\end{array}$$

Since 30 is less than 66, use the next digit 0 from dividend 300 and add 0 to the quotient

$$\begin{array}{l}\phantom{66)}00\phantom{4}\\66\overline{)300}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 300

$$\begin{array}{l}\phantom{66)}00\phantom{5}\\66\overline{)300}\\\end{array}$$

Find closest multiple of 66 to 300. We see that 4 \times 66 = 264 is the nearest. Now subtract 264 from 300 to get reminder 36. Add 4 to quotient.

$$\begin{array}{l}\phantom{66)}004\phantom{6}\\66\overline{)300}\\\phantom{66)}\underline{\phantom{}264\phantom{}}\\\phantom{66)9}36\\\end{array}$$

Since 36 is less than 66, stop the division. The reminder is 36. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }36$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{11} = 4\frac{6}{11} = 4.545454545454546$$