9996 divided by 12

Charlotte

2 min read

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01-03-2025

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Solving the Division Problem: 9996 Divided by 12

This article will guide you through the process of dividing 9996 by 12, explaining the steps clearly and demonstrating different methods you can use. Whether you prefer long division, using a calculator, or breaking down the problem, we'll cover it all. Understanding how to solve this type of problem is crucial for developing strong mathematical skills.

Method 1: Long Division

Long division is a fundamental method for solving division problems. Let's break down how to solve 9996 divided by 12 using this approach:

1. Set up the problem: Write 9996 inside the long division symbol (⟌) and 12 outside.

2. Divide the first digits: How many times does 12 go into 9? It doesn't, so we move to the next digit. How many times does 12 go into 99? It goes in 8 times (8 x 12 = 96). Write the 8 above the 9 in 9996.

3. Subtract and bring down: Subtract 96 from 99, leaving 3. Bring down the next digit, 9, to make 39.

4. Repeat the process: How many times does 12 go into 39? It goes in 3 times (3 x 12 = 36). Write the 3 above the 9 in 9996.

5. Subtract and bring down: Subtract 36 from 39, leaving 3. Bring down the last digit, 6, to make 36.

6. Final division: How many times does 12 go into 36? It goes in 3 times (3 x 12 = 36). Write the 3 above the 6 in 9996.

7. Subtract: Subtract 36 from 36, leaving 0. There is no remainder.

Therefore, 9996 divided by 12 is 833.

Method 2: Using a Calculator

The simplest method is using a calculator. Simply enter "9996 ÷ 12" and press the equals button. The answer, as before, is 833. Calculators are great for quick solutions, but understanding the underlying process (like long division) is still valuable for building mathematical understanding.

Method 3: Breaking Down the Problem

We can also approach this by breaking down the number 9996 into more manageable parts:

• 9996 can be thought of as 9600 + 396.
• 9600/12 = 800 (Since 12 x 8 = 96, 12 x 800 = 9600)
• 396/12 = 33 (You might know this from your 12 times tables, or you can use long division again)
• 800 + 33 = 833

This demonstrates that breaking down complex problems into simpler ones can be a helpful strategy.

Conclusion

Regardless of the method used—long division, calculator, or breaking down the problem—the answer to 9996 divided by 12 remains consistently 833. Choosing the best method depends on your personal preference and the context of the problem. Remember that understanding the underlying mathematical principles is key to building proficiency in division and other mathematical concepts. Mastering division techniques lays a solid foundation for more advanced mathematical explorations.