Example Problems for Verifying Long Division Answers

📚 Quick Study Guide

• ➗ Long division breaks down a division problem into smaller, manageable steps.
• ✅ To verify your answer in long division, you use the formula: $(\text{Divisor} \times \text{Quotient}) + \text{Remainder} = \text{Dividend}$
• ✍️ The dividend is the number being divided.
• 🧮 The divisor is the number you're dividing by.
• 📈 The quotient is the result of the division.
• 🔔 The remainder is the amount left over after the division. If the remainder is zero, the divisor divides the dividend perfectly.
• 💡 If the equation holds true, your long division calculation is correct!

Practice Quiz

1. Question 1: What is the formula used to verify long division?
   1. A. Dividend + Quotient = (Divisor x Remainder)
   2. B. (Divisor x Quotient) - Remainder = Dividend
   3. C. (Divisor x Quotient) + Remainder = Dividend
   4. D. Divisor + Remainder = (Dividend x Quotient)
2. Question 2: In the equation 35 ÷ 6 = 5 R 5, which number is the divisor?
   1. A. 35
   2. B. 6
   3. C. 5
   4. D. 0
3. Question 3: If you divide 47 by 9 and get a quotient of 5 and a remainder of 2, is the long division correct?
   1. A. Yes
   2. B. No
   3. C. Maybe
   4. D. Only on Tuesdays
4. Question 4: What does 'R' stand for in long division verification?
   1. A. Result
   2. B. Remainder
   3. C. Ratio
   4. D. Root
5. Question 5: If (12 x 4) + 3 = 51, what are the divisor, quotient, remainder, and dividend (respectively) from a long division problem?
   1. A. 51, 12, 4, 3
   2. B. 12, 4, 3, 51
   3. C. 4, 12, 51, 3
   4. D. 3, 4, 12, 51
6. Question 6: You perform long division and get a quotient of 8 and a remainder of 7 when dividing by 5. If the dividend is 47, is your answer correct?
   1. A. Yes
   2. B. No
   3. C. Only if you used a calculator
   4. D. Only if it's an even number
7. Question 7: A student says that 25 divided by 4 is 6 with a remainder of 0. Is this correct?
   1. A. Yes
   2. B. No
   3. C. Only sometimes
   4. D. It depends on the weather