Question 1: Calculate the remainder when 45 is divided by 6.

Answer: 3

Question 2: What is 81 divided by 8? Write the quotient and the remainder.

Answer: Quotient: 10, Remainder: 1

Question 3: Divide 123 by 10 and state the remainder.

Answer: 3

Question 4: If 56 divided by a number gives a quotient of 7 with a remainder of 3, what is the divisor?

Answer: 8

Question 5: Calculate 147 divided by 12 and write the quotient and remainder.

Answer: Quotient: 12, Remainder: 3

Question 6: A factory packs 125 items into boxes with 12 items each. How many items are left unpacked?

Answer: 5

Question 7: A teacher distributes 97 candies among 8 students evenly. How many candies does each student get, and how many candies are left undistributed?

Answer: Each student gets 12, with 1 left over

Question 8: Construct a division problem where the quotient is 9 and the remainder is 4, with the divisor less than 20.

Answer: Divisor: 7, Dividend: 85

Question 9: Calculate the division 144 ÷ 13. Write the quotient and remainder.

Answer: Quotient: 11, Remainder: 1

Question 10: A sports event has 237 participants. If each team has 8 players, how many full teams can be formed, and how many players are left without a team?

Answer: Full teams: 29, Leftover players: 5

Question 11: A common mistake is dividing 50 by 7 and getting 7 as the quotient with a remainder of 1, but students often forget to check the division. Identify and correct this mistake.

Answer: Incorrect: Remainder should be 1, but actually 50 ÷ 7 = 7 with a remainder of 1; correct division: 50 ÷ 7 = 7, Remainder: 1. (No mistake here, but students should verify the division)