Solve 69/13

$$\frac { 69 } { 13 }$$

Evaluate

$$\frac{69}{13}\approx 5.307692308$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 69

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)69}\\\end{array}$$

Since 6 is less than 13, use the next digit 9 from dividend 69 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)69}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 69

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)69}\\\end{array}$$

Find closest multiple of 13 to 69. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 69 to get reminder 4. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}05\phantom{4}\\13\overline{)69}\\\phantom{13)}\underline{\phantom{}65\phantom{}}\\\phantom{13)9}4\\\end{array}$$

Since 4 is less than 13, stop the division. The reminder is 4. The topmost line 05 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }4$$

Factor

$$\frac{3 \cdot 23}{13} = 5\frac{4}{13} = 5.3076923076923075$$