182 divided by 2

2025

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31-03-2025

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Introduction:

Learning basic division is a fundamental skill in mathematics. This article provides a clear, step-by-step guide to solving the problem "182 divided by 2," perfect for those just starting to learn division or needing a quick refresher. We'll explore different methods to arrive at the correct answer. Understanding 182 divided by 2 is a building block for more complex calculations.

Understanding Division

Division is essentially the opposite of multiplication. It involves splitting a larger number (the dividend) into equal smaller groups (the divisor), to find the number in each group (the quotient). In the problem "182 divided by 2," 182 is the dividend, 2 is the divisor, and we need to find the quotient.

Method 1: Long Division

Long division is a standard method for tackling larger division problems. Here's how to solve 182 divided by 2 using this method:

1. Set up the problem: Write 182 inside the long division symbol (⟌) and 2 outside.

2. Divide the hundreds: How many times does 2 go into 1? It doesn't, so we move to the tens place.

3. Divide the tens: How many times does 2 go into 18? It goes in 9 times (9 x 2 = 18). Write 9 above the 8 in 182.

4. Subtract: Subtract 18 from 18, leaving 0.

5. Bring down the ones: Bring down the 2 from 182.

6. Divide the ones: How many times does 2 go into 2? It goes in 1 time (1 x 2 = 2). Write 1 above the 2 in 182.

7. Subtract: Subtract 2 from 2, leaving 0.

Therefore, 182 divided by 2 equals 91.

Method 2: Repeated Subtraction

Repeated subtraction is a more visual method, especially helpful for beginners. It involves repeatedly subtracting the divisor (2) from the dividend (182) until you reach 0. The number of times you subtract is the quotient. While less efficient for larger numbers, it's great for understanding the concept of division.

1. Start with 182.
2. Subtract 2 repeatedly: 182 - 2 - 2 - 2... and so on.
3. Count how many times you subtract 2 before reaching 0. You'll find you subtract 91 times.

Therefore, 182 divided by 2 equals 91.

Method 3: Mental Math (for simple problems)

For simpler division problems like this, mental math can be used. You can break down 182 into smaller, easily divisible parts.

1. Think of 182 as 180 + 2.
2. 180 divided by 2 is 90.
3. 2 divided by 2 is 1.
4. Add the results: 90 + 1 = 91

Therefore, 182 divided by 2 equals 91.

Conclusion

We've explored three different methods to solve 182 divided by 2, all leading to the same answer: 91. Choosing the method that best suits your understanding and the complexity of the problem is key to mastering division. Remember, understanding division is crucial for tackling more advanced mathematical concepts. Practice these methods with different numbers to solidify your understanding.