186 divided by 3

Charlotte

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27-02-2025

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186 Divided by 3: A Step-by-Step Guide to Long Division

Dividing larger numbers can seem daunting, but breaking it down into smaller steps makes it manageable. Let's explore how to solve 186 divided by 3, using both long division and a simpler method. This process will be useful for understanding division in general and building your math skills.

Understanding the Problem: 186 ÷ 3

The problem "186 divided by 3" (written as 186 ÷ 3) asks: how many times does 3 fit into 186? We'll find the answer using two approaches.

Method 1: Long Division

Long division is a standard method for solving division problems with larger numbers. Here's how to do it:

1. Set up the problem: Write 186 inside a long division symbol (⟌), with 3 outside.

   3 ⟌ 186
   

2. Divide the hundreds: How many times does 3 go into 1? It doesn't, so we move to the tens place. How many times does 3 go into 18? It goes in 6 times (6 x 3 = 18). Write the 6 above the 8 in 186.

       6
   3 ⟌ 186
   

3. Multiply and subtract: Multiply the 6 by 3 (6 x 3 = 18). Write 18 below the 18 in 186. Subtract 18 from 18, leaving 0.

       6
   3 ⟌ 186
      -18
       0
   

4. Bring down the ones: Bring down the 6 from 186.

       6
   3 ⟌ 186
      -18
       06
   

5. Divide the ones: How many times does 3 go into 6? It goes in 2 times (2 x 3 = 6). Write the 2 above the 6 in 186.

       62
   3 ⟌ 186
      -18
       06
   

6. Multiply and subtract: Multiply the 2 by 3 (2 x 3 = 6). Write 6 below the 6. Subtract 6 from 6, leaving 0.

       62
   3 ⟌ 186
      -18
       06
       -6
       0
   

Therefore, 186 divided by 3 is 62.

Method 2: Breaking Down the Problem

This method involves breaking 186 into smaller, easier-to-divide numbers.

1. Break down 186: We can break 186 into 180 and 6 (180 + 6 = 186).

2. Divide each part:

   • 180 ÷ 3 = 60 (because 18 ÷ 3 = 6, so 180 ÷ 3 = 60)
   • 6 ÷ 3 = 2

3. Add the results: 60 + 2 = 62

Therefore, 186 divided by 3 is 62. This method is quicker for those comfortable with mental math.

Conclusion: The Answer is 62

Both methods confirm that 186 divided by 3 equals 62. Choose the method that you find easiest and most comfortable. Remember to practice regularly to improve your division skills! Understanding division is crucial for many aspects of mathematics and everyday life.