Solve 17/13

$$\frac { 17 } { 13 }$$

Evaluate

$$\frac{17}{13}\approx 1.307692308$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 17

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)17}\\\end{array}$$

Since 1 is less than 13, use the next digit 7 from dividend 17 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)17}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 17

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)17}\\\end{array}$$

Find closest multiple of 13 to 17. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 17 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)17}\\\phantom{13)}\underline{\phantom{}13\phantom{}}\\\phantom{13)9}4\\\end{array}$$

Since 4 is less than 13, stop the division. The reminder is 4. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }4$$

Factor

$$\frac{17}{13} = 1\frac{4}{13} = 1.3076923076923077$$