Solve 782/214

$$\frac{ 782 }{ 214 }$$

Evaluate

$$\frac{391}{107}\approx 3.654205607$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 782

$$\begin{array}{l}\phantom{214)}\phantom{1}\\214\overline{)782}\\\end{array}$$

Since 7 is less than 214, use the next digit 8 from dividend 782 and add 0 to the quotient

$$\begin{array}{l}\phantom{214)}0\phantom{2}\\214\overline{)782}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 782

$$\begin{array}{l}\phantom{214)}0\phantom{3}\\214\overline{)782}\\\end{array}$$

Since 78 is less than 214, use the next digit 2 from dividend 782 and add 0 to the quotient

$$\begin{array}{l}\phantom{214)}00\phantom{4}\\214\overline{)782}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 782

$$\begin{array}{l}\phantom{214)}00\phantom{5}\\214\overline{)782}\\\end{array}$$

Find closest multiple of 214 to 782. We see that 3 \times 214 = 642 is the nearest. Now subtract 642 from 782 to get reminder 140. Add 3 to quotient.

$$\begin{array}{l}\phantom{214)}003\phantom{6}\\214\overline{)782}\\\phantom{214)}\underline{\phantom{}642\phantom{}}\\\phantom{214)}140\\\end{array}$$

Since 140 is less than 214, stop the division. The reminder is 140. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }140$$

Factor

$$\frac{17 \cdot 23}{107} = 3\frac{70}{107} = 3.6542056074766354$$