1. Problem: Divide 30 by 4 and find the remainder. Formula: When dividing $a$ by $b$, quotient $q = \lfloor \frac{a}{b} \rfloor$ and remainder $r = a - bq$. Calculation: - $q = \lfloor \frac{30}{4} \rfloor = 7$ - $r = 30 - 4 \times 7 = 30 - 28 = 2$ Answer: Quotient = 7, Remainder = 2 2. Problem: Divide 33 by 5 and find the remainder. Calculation: - $q = \lfloor \frac{33}{5} \rfloor = 6$ - $r = 33 - 5 \times 6 = 33 - 30 = 3$ Answer: Quotient = 6, Remainder = 3 3. Problem: Divide 32 by 6 and find the remainder. Calculation: - $q = \lfloor \frac{32}{6} \rfloor = 5$ - $r = 32 - 6 \times 5 = 32 - 30 = 2$ Answer: Quotient = 5, Remainder = 2 4. Problem: Divide 31 by 7 and find the remainder. Calculation: - $q = \lfloor \frac{31}{7} \rfloor = 4$ - $r = 31 - 7 \times 4 = 31 - 28 = 3$ Answer: Quotient = 4, Remainder = 3 5. Problem: Divide 34 by 9 and find the remainder. Calculation: - $q = \lfloor \frac{34}{9} \rfloor = 3$ - $r = 34 - 9 \times 3 = 34 - 27 = 7$ Answer: Quotient = 3, Remainder = 7