Solve 714/334

$$714 / 334$$

Evaluate

$$\frac{357}{167}\approx 2.137724551$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 714

$$\begin{array}{l}\phantom{334)}\phantom{1}\\334\overline{)714}\\\end{array}$$

Since 7 is less than 334, use the next digit 1 from dividend 714 and add 0 to the quotient

$$\begin{array}{l}\phantom{334)}0\phantom{2}\\334\overline{)714}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 714

$$\begin{array}{l}\phantom{334)}0\phantom{3}\\334\overline{)714}\\\end{array}$$

Since 71 is less than 334, use the next digit 4 from dividend 714 and add 0 to the quotient

$$\begin{array}{l}\phantom{334)}00\phantom{4}\\334\overline{)714}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 714

$$\begin{array}{l}\phantom{334)}00\phantom{5}\\334\overline{)714}\\\end{array}$$

Find closest multiple of 334 to 714. We see that 2 \times 334 = 668 is the nearest. Now subtract 668 from 714 to get reminder 46. Add 2 to quotient.

$$\begin{array}{l}\phantom{334)}002\phantom{6}\\334\overline{)714}\\\phantom{334)}\underline{\phantom{}668\phantom{}}\\\phantom{334)9}46\\\end{array}$$

Since 46 is less than 334, stop the division. The reminder is 46. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }46$$

Factor

$$\frac{3 \cdot 7 \cdot 17}{167} = 2\frac{23}{167} = 2.1377245508982035$$