9996 divided by 12

Daniel Parker

2 min read

·

26-02-2025

1

0

Share

Solving 9996 divided by 12 might seem daunting at first glance, but breaking it down into manageable steps makes it straightforward. This article provides a clear, step-by-step guide to performing long division, specifically addressing 9996 ÷ 12. We'll also explore alternative methods and discuss the importance of understanding long division in broader mathematical contexts.

Understanding Long Division

Long division is a fundamental arithmetic operation used to divide larger numbers into smaller, more manageable parts. It involves a series of steps that systematically break down the division problem. Mastering long division is crucial for more advanced mathematical concepts and problem-solving.

Solving 9996 ÷ 12: A Step-by-Step Approach

Here's how to solve 9996 divided by 12 using long division:

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

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

3. Subtract and bring down: Subtract 96 from 99, which leaves 3. Bring down the next digit (9) to make 39.

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

5. Subtract and bring down: Subtract 36 from 39, which leaves 3. Bring down the last digit (6) to make 36.

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

7. Subtract: Subtract 36 from 36, which leaves 0. There's no remainder.

Therefore, 9996 divided by 12 is 833.

Alternative Methods: Using a Calculator

While understanding long division is essential, using a calculator provides a quick way to verify the answer. Simply enter 9996 ÷ 12 into your calculator, and it will confirm the result is 833.

Real-World Applications of Long Division

Long division isn't just a theoretical concept; it has practical applications in many areas:

• Budgeting: Dividing a monthly budget among different expenses.
• Cooking: Dividing ingredients proportionally for a recipe.
• Engineering: Calculating material requirements for construction projects.

Conclusion

Mastering long division, as demonstrated with the example of 9996 divided by 12, is a vital skill for various mathematical applications. Understanding the step-by-step process empowers you to solve similar problems with confidence. While calculators offer a convenient shortcut, grasping the underlying principles of long division remains crucial for broader mathematical proficiency. Remember the answer to 9996 divided by 12 is 833.