1. The problem is to find the remainder when one number is divided by another. 2. The remainder is the amount left over after division when one number cannot be divided evenly by another. 3. The formula to find the remainder $r$ when dividing $a$ by $b$ is: $$a = bq + r$$ where $q$ is the quotient (an integer) and $0 \leq r < b$. 4. To find the remainder, you can perform the division $a \div b$ and then calculate: $$r = a - b \times q$$ where $q$ is the integer part of the division. 5. For example, if you want to find the remainder when 17 is divided by 5: - Divide 17 by 5: $17 \div 5 = 3.4$ - The integer quotient $q$ is 3. - Calculate the remainder: $r = 17 - 5 \times 3 = 17 - 15 = 2$ 6. So, the remainder is 2. This method works for any integers $a$ and $b$ (with $b \neq 0$).