Let's say you had 75 cookies and 9 friends you want to divide the cookies among.
Ask yourself: "how many times does 9 go into 75 evenly?" That would be 8 times because 9*8 = 72 is the highest we can go without going over 75.
If each friend got 8 cookies, then they would eat 72 cookies overall and there would be 75-72 = 3 left.
That "8" found earlier is the quotient and the "3" is the remainder.
Therefore, [tex]75 \div 9 = 8 \text{ remainder } 3[/tex]
Below is the long division scratch work for this example.