3252 divided by 12

Daniel Parker

2 min read

·

27-02-2025

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Finding the answer to 3252 divided by 12 might seem daunting at first, but with a systematic approach using long division, it becomes straightforward. This article will guide you through the process step-by-step, explaining each stage clearly. Whether you're brushing up on your long division skills or helping someone else understand the process, this guide is for you.

Understanding Long Division

Long division is a method for dividing large numbers into smaller, more manageable parts. It involves a series of steps that systematically break down the problem until you arrive at the quotient (the answer) and the remainder (the amount left over).

Solving 3252 Divided by 12

Let's tackle the problem: 3252 ÷ 12. We'll use long division to find the solution.

Step 1: Setting up the problem

Write the problem in the standard long division format:

      _____
12 | 3252

Step 2: Dividing the first digit(s)

How many times does 12 go into 3? It doesn't, so we move to the next digit. 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

Step 3: Subtracting and bringing down

Subtract 24 from 32: 32 - 24 = 8. Bring down the next digit (5) to make 85.

      2____
12 | 3252
     -24
       85

Step 4: Repeat the process

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

      27___
12 | 3252
     -24
       85
      -84
        1

Step 5: Bringing down the last digit

Bring down the last digit (2) to make 12.

      27___
12 | 3252
     -24
       85
      -84
        12

Step 6: Final division

How many times does 12 go into 12? It goes in exactly once (12 x 1 = 12). Write the "1" above the 2 in 3252.

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

Step 7: The answer

The remainder is 0. Therefore, 3252 divided by 12 is 271.

Checking your work

A great way to verify your answer is to multiply the quotient by the divisor: 271 x 12 = 3252. Since this matches the original dividend, we know our answer is correct.

Conclusion

Long division might seem complex at first, but by following these steps systematically, you can confidently solve even challenging division problems like 3252 divided by 12. Remember to take it one step at a time, and don't hesitate to double-check your work! With practice, you’ll master this essential math skill.