74 divided by 2 but long division
The correct answer and explanation is:
Let’s solve 74 ÷ 2 using long division, then provide an explanation.
✅ Correct Answer: 37
📘 Step-by-Step Long Division:
We are dividing 74 by 2.
__37__
2 | 74
- Step 1: Divide the first digit (7) by 2
- 2 goes into 7 3 times because 2 × 3 = 6 (and 2 × 4 = 8 which is too much).
- Write 3 above the 7.
- Subtract 6 from 7: 7 – 6 = 1
- Bring down the next digit, 4, making the new number 14.
- Step 2: Divide 14 by 2
- 2 goes into 14 7 times exactly (2 × 7 = 14).
- Write 7 above the 4.
- Subtract 14 – 14 = 0, so there is no remainder.
The final answer is 37.
🧠 300-Word Explanation:
Long division is a systematic method used to divide larger numbers into smaller parts. It’s especially useful when mental math is difficult. In this problem, we are dividing 74 by 2. The number 74 is the dividend, and 2 is the divisor. The result, or quotient, will be the answer to the division problem.
We begin by looking at the leftmost digit of the dividend, which is 7. We ask, “How many times does 2 go into 7 without going over?” The answer is 3, because 2 × 3 = 6. We write 3 above the 7. Then we subtract 6 from 7, which leaves a remainder of 1.
Next, we bring down the next digit of the dividend, which is 4, forming the number 14. We then ask, “How many times does 2 go into 14?” The answer is 7, because 2 × 7 = 14. We write 7 next to the 3 in the quotient. When we subtract 14 – 14, we get 0, so there is no remainder.
The final quotient is 37, meaning 74 divided by 2 equals 37. This is a basic example of division with a two-digit number, and it helps reinforce place value understanding, subtraction skills, and multiplication facts. Long division is a foundational skill that prepares students for more complex math operations, including algebra and fractions. It’s a method that ensures accuracy, especially when calculators are not allowed.