Solve 85/13

$$\frac{ 85 }{ 13 }$$

Evaluate

$$\frac{85}{13}\approx 6.538461538$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 85

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)85}\\\end{array}$$

Since 8 is less than 13, use the next digit 5 from dividend 85 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)85}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 85

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)85}\\\end{array}$$

Find closest multiple of 13 to 85. We see that 6 \times 13 = 78 is the nearest. Now subtract 78 from 85 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{13)}06\phantom{4}\\13\overline{)85}\\\phantom{13)}\underline{\phantom{}78\phantom{}}\\\phantom{13)9}7\\\end{array}$$

Since 7 is less than 13, stop the division. The reminder is 7. The topmost line 06 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }7$$

Factor

$$\frac{5 \cdot 17}{13} = 6\frac{7}{13} = 6.538461538461538$$