Long Division — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. If the quotient is 509, the divisor is 7, and the remainder is 2, what is the dividend?
A) 3,563
B) 3,565
C) 3,561
D) 3,567
The correct answer is B) 3,565. If the quotient is 509, the divisor is 7, and the remainder is 2, what is the dividend — the answer is 3,565.
2. A store sells 4,200 markers equally to 6 schools. Each school donates half to charity. How many markers does each school keep?
A) 300
B) 350
C) 400
D) 700
The correct answer is B) 350. A store sells 4,200 markers equally to 6 schools. Each school donates half to charity. How many markers does each school keep — the answer is 350.
3. Which has the greatest remainder: 1,000 ÷ 3, 1,000 ÷ 7, or 1,000 ÷ 9?
A) 1,000 ÷ 3
B) 1,000 ÷ 7
C) 1,000 ÷ 9
D) They all have the same remainder
The correct answer is B) 1,000 ÷ 7. Which has the greatest remainder: 1,000 ÷ 3, 1,000 ÷ 7, or 1,000 ÷ 9 — the answer is 1,000 ÷ 7.
4. A number divided by 8 gives 406 R3. What is the number?
A) 3,248
B) 3,249
C) 3,251
D) 3,252
The correct answer is C) 3,251. A number divided by 8 gives 406 R3. What is the number — the answer is 3,251.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 5,432 ÷ 8 = 679 R0
The answer is 679. Since 8 x 679 = 5,432, the division is exact with a remainder of 0.
2. A concert hall has 2,500 seats arranged in 9 equal sections. Each section has 277 seats with some left over.
The answer is 277. Dividing 2,500 by 9 gives 277 with a remainder of 7, so each section has 277 seats and 7 seats are unassigned.
3. To estimate 6,413 ÷ 7, use 6,300 ÷ 7 = 900
The answer is 900. The compatible number 6,300 is close to 6,413 and divides evenly by 7, so 6,300 ÷ 7 = 900 is a good estimate.
4. If dividend = quotient × divisor + remainder, then 1913 = 318 × 6 + 5.
The answer is 1,913. Using the formula dividend = quotient x divisor + remainder: 318 x 6 = 1,908, then 1,908 + 5 = 1,913.
5. 3,672 ÷ 4 = 918
The answer is 918. Multiply to verify: 4 x 918 = 3,672, so the division is exact with no remainder.