3252 divided by 12

Charlotte

2 min read

·

26-02-2025

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Long division can seem daunting, but with a systematic approach, it becomes manageable. This article will guide you through the process of dividing 3252 by 12, explaining each step clearly. Understanding this example will help you tackle similar problems confidently. Let's begin!

Understanding Long Division

Before diving into the calculation, let's refresh our understanding of long division. It's a method of dividing large numbers into smaller, more manageable parts. We'll break down 3252 into groups divisible by 12.

Step-by-Step Solution: 3252 ÷ 12

Here's how to solve 3252 divided by 12 using long division:

1. Set up the problem: Write the dividend (3252) inside the long division symbol and the divisor (12) outside.

   12 | 3252
   

2. Divide the first digits: How many times does 12 go into 32? It goes in twice (12 x 2 = 24). Write the '2' above the '2' in 3252.

      2
   12 | 3252
   

3. Multiply and subtract: Multiply the quotient (2) by the divisor (12) (2 x 12 = 24). Subtract this result from the first two digits of the dividend (32 - 24 = 8).

      2
   12 | 3252
      -24
       8
   

4. Bring down the next digit: Bring down the next digit (5) from the dividend to create the number 85.

      2
   12 | 3252
      -24
       85
   

5. Divide again: How many times does 12 go into 85? It goes in seven times (12 x 7 = 84). Write the '7' above the '5' in 3252.

      27
   12 | 3252
      -24
       85
   

6. Multiply and subtract: Multiply the quotient (7) by the divisor (12) (7 x 12 = 84). Subtract this result from 85 (85 - 84 = 1).

      27
   12 | 3252
      -24
       85
      -84
        1
   

7. Bring down the last digit: Bring down the last digit (2) from the dividend to create the number 12.

      27
   12 | 3252
      -24
       85
      -84
        12
   

8. Final division: How many times does 12 go into 12? It goes in once (12 x 1 = 12). Write the '1' above the '2' in 3252.

      271
   12 | 3252
      -24
       85
      -84
        12
       -12
         0
   

9. The result: The remainder is 0. Therefore, 3252 divided by 12 equals 271.

Conclusion

Therefore, 3252 divided by 12 is $\boxed{271}$. By following these steps methodically, you can successfully perform long division on larger numbers. Remember to practice regularly to build your confidence and speed.