Long Division — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
84 ÷ 4 = 22 because 4 goes into 84 twenty-two times.
Corrected: 84 ÷ 4 = 21 because 4 × 21 = 84.
The corrected sentence is: "84 ÷ 4 = 21 because 4 × 21 = 84.". The original sentence "84 ÷ 4 = 22 because 4 goes into 84 twenty-two times." contained an error that needed to be fixed.
2. Fix the sentence:
96 ÷ 3 = 31 because 3 × 31 = 96.
Corrected: 96 ÷ 3 = 32 because 3 × 32 = 96.
The corrected sentence is: "96 ÷ 3 = 32 because 3 × 32 = 96.". The original sentence "96 ÷ 3 = 31 because 3 × 31 = 96." contained an error that needed to be fixed.
3. Fix the sentence:
175 ÷ 5 = 34 because 5 × 34 = 175.
Corrected: 175 ÷ 5 = 35 because 5 × 35 = 175.
The corrected sentence is: "175 ÷ 5 = 35 because 5 × 35 = 175.". The original sentence "175 ÷ 5 = 34 because 5 × 34 = 175." contained an error that needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 72 ÷ 6 = 12
6 × 12 = 72. Divide: 7÷6=1 R1; bring down 2 → 12÷6=2. Quotient = 12.
2. 135 ÷ 5 = 27
5 × 27 = 135. Divide: 13÷5=2 R3; bring down 5 → 35÷5=7. Quotient = 27.
3. 168 ÷ 8 = 21
8 × 21 = 168. Divide: 16÷8=2; bring down 8 → 8÷8=1. Quotient = 21.
4. 256 ÷ 4 = 64
4 × 64 = 256. Divide: 25÷4=6 R1; bring down 6 → 16÷4=4. Quotient = 64.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. What are the four steps you repeat when doing long division?
Sample answer: Divide, multiply, subtract, and bring down. You repeat these steps until there are no more digits to bring down.
The D-M-S-B cycle (Divide, Multiply, Subtract, Bring down) is the core process of long division.
2. How can you check whether a long division answer is correct?
Sample answer: Multiply the quotient by the divisor and add any remainder. The result should equal the dividend.
Verification formula: quotient × divisor + remainder = dividend. If it matches, the answer is correct.