Solve 115/17

$$\frac{ 115 }{ 17 }$$

Evaluate

$$\frac{115}{17}\approx 6.764705882$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 115

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)115}\\\end{array}$$

Since 1 is less than 17, use the next digit 1 from dividend 115 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)115}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 115

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)115}\\\end{array}$$

Since 11 is less than 17, use the next digit 5 from dividend 115 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}00\phantom{4}\\17\overline{)115}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 115

$$\begin{array}{l}\phantom{17)}00\phantom{5}\\17\overline{)115}\\\end{array}$$

Find closest multiple of 17 to 115. We see that 6 \times 17 = 102 is the nearest. Now subtract 102 from 115 to get reminder 13. Add 6 to quotient.

$$\begin{array}{l}\phantom{17)}006\phantom{6}\\17\overline{)115}\\\phantom{17)}\underline{\phantom{}102\phantom{}}\\\phantom{17)9}13\\\end{array}$$

Since 13 is less than 17, stop the division. The reminder is 13. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }13$$

Factor

$$\frac{5 \cdot 23}{17} = 6\frac{13}{17} = 6.764705882352941$$