Solve 82/14

$$\frac { 82 } { 14 }$$

Evaluate

$$\frac{41}{7}\approx 5.857142857$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 82

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)82}\\\end{array}$$

Since 8 is less than 14, use the next digit 2 from dividend 82 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)82}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 82

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)82}\\\end{array}$$

Find closest multiple of 14 to 82. We see that 5 \times 14 = 70 is the nearest. Now subtract 70 from 82 to get reminder 12. Add 5 to quotient.

$$\begin{array}{l}\phantom{14)}05\phantom{4}\\14\overline{)82}\\\phantom{14)}\underline{\phantom{}70\phantom{}}\\\phantom{14)}12\\\end{array}$$

Since 12 is less than 14, stop the division. The reminder is 12. The topmost line 05 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }12$$

Factor

$$\frac{41}{7} = 5\frac{6}{7} = 5.857142857142857$$