what is 16275 divided by 5

Natashya

2 min read

·

02-02-2025

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Introduction:

Dividing large numbers can seem daunting, but breaking it down into smaller steps makes it manageable. This article will guide you through dividing 16275 by 5, explaining the process clearly and concisely. We'll explore different methods and show you how to arrive at the correct answer. Understanding this simple division problem is a fundamental building block for more complex mathematical operations.

Understanding Long Division

Long division is a method used to divide multi-digit numbers. It's a systematic approach that breaks the problem down into smaller, more manageable parts. This is the most common method for solving this problem.

Step-by-Step Solution:

1. Set up the problem: Write the division problem as 16275 ÷ 5.

2. Divide the first digit: How many times does 5 go into 1? It doesn't, so we move to the next digit.

3. Divide the first two digits: How many times does 5 go into 16? It goes in 3 times (3 x 5 = 15). Write the 3 above the 6 in 16275.

4. Subtract: Subtract 15 from 16, leaving 1.

5. Bring down the next digit: Bring down the 2, making the number 12.

6. Divide again: How many times does 5 go into 12? It goes in 2 times (2 x 5 = 10). Write the 2 above the 7.

7. Subtract: Subtract 10 from 12, leaving 2.

8. Bring down the next digit: Bring down the 7, making the number 27.

9. Divide again: How many times does 5 go into 27? It goes in 5 times (5 x 5 = 25). Write the 5 above the 5.

10. Subtract: Subtract 25 from 27, leaving 2.

11. Bring down the last digit: Bring down the 5, making the number 25.

12. Final division: How many times does 5 go into 25? It goes in 5 times (5 x 5 = 25). Write the 5 above the last 5.

13. Subtract: Subtract 25 from 25, leaving 0.

Therefore, 16275 divided by 5 is 3255.

Alternative Methods

While long division is a standard method, other approaches exist. For instance, you could break 16275 into smaller, easily divisible parts:

• 15000 ÷ 5 = 3000
• 1000 ÷ 5 = 200
• 200 ÷ 5 = 40
• 75 ÷ 5 = 15

Adding these results together (3000 + 200 + 40 + 15) also gives you 3255.

Conclusion:

Dividing 16275 by 5 results in 3255. Understanding the steps involved in long division, or employing alternative methods, makes solving this type of problem straightforward. Remember to break down complex problems into simpler steps for easier calculation. The ability to perform this type of calculation is essential for various mathematical applications in everyday life.