Solve 338/300

$$\frac { 338 } { 300 }$$

Evaluate

$$\frac{169}{150}\approx 1.126666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 338

$$\begin{array}{l}\phantom{300)}\phantom{1}\\300\overline{)338}\\\end{array}$$

Since 3 is less than 300, use the next digit 3 from dividend 338 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}0\phantom{2}\\300\overline{)338}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 338

$$\begin{array}{l}\phantom{300)}0\phantom{3}\\300\overline{)338}\\\end{array}$$

Since 33 is less than 300, use the next digit 8 from dividend 338 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}00\phantom{4}\\300\overline{)338}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 338

$$\begin{array}{l}\phantom{300)}00\phantom{5}\\300\overline{)338}\\\end{array}$$

Find closest multiple of 300 to 338. We see that 1 \times 300 = 300 is the nearest. Now subtract 300 from 338 to get reminder 38. Add 1 to quotient.

$$\begin{array}{l}\phantom{300)}001\phantom{6}\\300\overline{)338}\\\phantom{300)}\underline{\phantom{}300\phantom{}}\\\phantom{300)9}38\\\end{array}$$

Since 38 is less than 300, stop the division. The reminder is 38. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }38$$

Factor

$$\frac{13 ^ {2}}{2 \cdot 3 \cdot 5 ^ {2}} = 1\frac{19}{150} = 1.1266666666666667$$