Solve 75div13=

$$75 \div 13=$$

Evaluate

$$\frac{75}{13}\approx 5.769230769$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 75

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)75}\\\end{array}$$

Since 7 is less than 13, use the next digit 5 from dividend 75 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)75}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 75

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)75}\\\end{array}$$

Find closest multiple of 13 to 75. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 75 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}05\phantom{4}\\13\overline{)75}\\\phantom{13)}\underline{\phantom{}65\phantom{}}\\\phantom{13)}10\\\end{array}$$

Since 10 is less than 13, stop the division. The reminder is 10. The topmost line 05 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }10$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{13} = 5\frac{10}{13} = 5.769230769230769$$