Solve 763/306

$$\frac{ 763 }{ 306 }$$

Evaluate

$$\frac{763}{306}\approx 2.493464052$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 763

$$\begin{array}{l}\phantom{306)}\phantom{1}\\306\overline{)763}\\\end{array}$$

Since 7 is less than 306, use the next digit 6 from dividend 763 and add 0 to the quotient

$$\begin{array}{l}\phantom{306)}0\phantom{2}\\306\overline{)763}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 763

$$\begin{array}{l}\phantom{306)}0\phantom{3}\\306\overline{)763}\\\end{array}$$

Since 76 is less than 306, use the next digit 3 from dividend 763 and add 0 to the quotient

$$\begin{array}{l}\phantom{306)}00\phantom{4}\\306\overline{)763}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 763

$$\begin{array}{l}\phantom{306)}00\phantom{5}\\306\overline{)763}\\\end{array}$$

Find closest multiple of 306 to 763. We see that 2 \times 306 = 612 is the nearest. Now subtract 612 from 763 to get reminder 151. Add 2 to quotient.

$$\begin{array}{l}\phantom{306)}002\phantom{6}\\306\overline{)763}\\\phantom{306)}\underline{\phantom{}612\phantom{}}\\\phantom{306)}151\\\end{array}$$

Since 151 is less than 306, stop the division. The reminder is 151. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }151$$

Factor

$$\frac{7 \cdot 109}{2 \cdot 3 ^ {2} \cdot 17} = 2\frac{151}{306} = 2.4934640522875817$$