1025 divided by 25

Daniel Parker

2 min read

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22-02-2025

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Introduction:

Learning long division can be challenging, but mastering it opens doors to more complex mathematical concepts. This article provides a clear, step-by-step explanation of how to solve 1025 divided by 25. We'll break down the process, making it easy to understand, even for beginners. Understanding this process will help you tackle similar division problems with confidence.

Understanding Long Division

Long division is a method used to divide larger numbers into smaller, more manageable parts. The process involves several steps: dividing, multiplying, subtracting, and bringing down the next digit. Let's apply this method to solve 1025 divided by 25.

Step-by-Step Solution: 1025 ÷ 25

1. Setting up the Problem:

We write the problem as:

25 | 1025

2. Dividing the First Digits:

We start by dividing the first two digits of the dividend (1025) by the divisor (25). How many times does 25 go into 10? It doesn't, so we move to the next digit. How many times does 25 go into 102?

It goes in 4 times (4 x 25 = 100). We write the 4 above the 2 in the dividend.

 4

25 | 1025

3. Multiplying:

Next, we multiply the quotient (4) by the divisor (25): 4 x 25 = 100. We write this below the 102.

 4

25 | 1025 100

4. Subtracting:

Now, we subtract 100 from 102: 102 - 100 = 2.

 4

25 | 1025 100 -- 2

5. Bringing Down the Next Digit:

We bring down the next digit from the dividend (5) placing it next to the 2. This gives us 25.

 4

25 | 1025 100 -- 25

6. Dividing Again:

How many times does 25 go into 25? It goes in exactly once (1 x 25 = 25). We write the 1 above the 5 in the dividend.

 41

25 | 1025 100 -- 25

7. Multiplying and Subtracting:

We multiply 1 x 25 = 25 and subtract this from 25: 25 - 25 = 0

 41

25 | 1025 100 -- 25 25 --- 0

8. The Result:

The remainder is 0, meaning 25 divides 1025 perfectly. Therefore, 1025 divided by 25 equals 41.

Conclusion:

Therefore, 1025 divided by 25 is 41. By following these steps, you can confidently tackle similar long division problems. Remember to practice regularly to improve your skills and understanding of this essential mathematical concept. Now you can apply this method to solve other division problems. Practice makes perfect!