This set runs division in reverse and through extra steps. Students find a dividend given quotient 509, divisor 7, remainder 2; figure out a number that divides by 8 to give 406 R3; and track 4,200 markers split among 6 schools that each donate half. They also compare remainders for 1,000 / 3, 1,000 / 7, and 1,000 / 9.
Fill-ins include 5,432 / 8, a 2,500-seat hall in 9 sections, and applying dividend = quotient x divisor + remainder to compute 318 x 6 + 5. Reversing the operation cements why the long-division algorithm actually works.
Style:
Long Division
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
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
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
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
Part B: Fill in the Blank
Write the correct answer on each line.
1. 5,432 ÷ 8 = 679 R0
2. A concert hall has 2,500 seats arranged in 9 equal sections. Each section has 277 seats with some left over.
3. To estimate 6,413 ÷ 7, use 6,300 ÷ 7 = 900
4. If dividend = quotient × divisor + remainder, then 1913 = 318 × 6 + 5.
5. 3,672 ÷ 4 = 918
Long Division
★ 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
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
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
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
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) 5,432 ÷ 8 = 679 R0
2) A concert hall has 2,500 seats arranged in 9 equal sections. Each section has 277 seats with some left over.
3) To estimate 6,413 ÷ 7, use 6,300 ÷ 7 = 900
4) If dividend = quotient × divisor + remainder, then 1913 = 318 × 6 + 5.
5) 3,672 ÷ 4 = 918
Ready to Practice?
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9 Questions
12-18 minutes
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