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9996 divided by 12

9996 divided by 12

2 min read 05-02-2025
9996 divided by 12

Dividing 9996 by 12: A Step-by-Step Guide

Title Tag: 9996 Divided by 12: Easy Steps & Solution

Meta Description: Learn how to divide 9996 by 12 with a simple, step-by-step guide. We break down the process and provide the answer, making long division easy to understand. Perfect for students and anyone needing a refresher on division!

Understanding Long Division

Before we dive into solving 9996 ÷ 12, let's quickly recap the concept of long division. Long division is a method used to divide larger numbers into smaller, more manageable parts. It involves a series of steps that break down the problem into smaller, simpler divisions. We'll use a step-by-step approach to make this process clear.

Solving 9996 ÷ 12: Step-by-Step

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.

    12 ⟌ 9996
    
  2. Divide the first digit: Ask yourself: "How many times does 12 go into 9?" The answer is zero. So, we move to the next digit.

  3. Divide the first two digits: Now ask: "How many times does 12 go into 99?" 12 goes into 99 eight times (12 x 8 = 96). Write the "8" above the "9" in the quotient.

        8
    12 ⟌ 9996
    
  4. Subtract and bring down: Subtract 96 from 99 (99 - 96 = 3). Bring down the next digit (9) to get 39.

        8
    12 ⟌ 9996
       -96
        39
    
  5. Divide and repeat: Ask: "How many times does 12 go into 39?" 12 goes into 39 three times (12 x 3 = 36). Write the "3" above the "9" in the quotient.

        83
    12 ⟌ 9996
       -96
        39
       -36
         3
    
  6. Bring down and divide: Subtract 36 from 39 (39 - 36 = 3). Bring down the last digit (6) to get 36.

        83
    12 ⟌ 9996
       -96
        39
       -36
         36
    
  7. Final division: Ask: "How many times does 12 go into 36?" 12 goes into 36 three times (12 x 3 = 36). Write the "3" above the "6" in the quotient.

        833
    12 ⟌ 9996
       -96
        39
       -36
         36
        -36
          0
    
  8. The remainder is 0: Since the remainder is 0, the division is complete.

The Answer:

Therefore, 9996 divided by 12 is 833\boxed{833}.

Frequently Asked Questions

  • What if there's a remainder? If there's a remainder after the final step, you can express the answer as a mixed number or decimal.

  • Are there other ways to solve this? Yes, you can use a calculator or other division methods, but long division helps you understand the process.

  • How can I practice more problems like this? Practice with different numbers. Start with smaller numbers and gradually work your way up to larger ones. Online resources and math workbooks can provide additional practice problems.

This step-by-step guide demonstrates how to successfully divide 9996 by 12. Remember, practice makes perfect! The more you work through long division problems, the easier it will become.

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