66 divided by 5.5

Breiz Heurope

2 min read

·

10-03-2025

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Meta Description: Learn how to solve 66 divided by 5.5 using long division. This comprehensive guide breaks down the process step-by-step, making it easy to understand even for beginners. Master this fundamental math concept with our clear explanations and helpful examples. Discover the solution and understand the underlying principles!

Understanding the Problem: 66 ÷ 5.5

The problem "66 divided by 5.5" asks us to find out how many times 5.5 goes into 66. This is a division problem, and while you might reach for a calculator, understanding the process of long division is crucial for building mathematical skills. We'll walk through it together.

Method 1: Converting to Whole Numbers

The easiest way to tackle this division problem is to eliminate the decimal in the divisor (5.5). We can do this by multiplying both the dividend (66) and the divisor (5.5) by 10:

• 66 x 10 = 660
• 5.5 x 10 = 55

Now our problem becomes 660 ÷ 55. This is a much simpler long division problem to work with.

Step-by-Step Long Division: 660 ÷ 55

1. Set up the problem: Write the long division problem as shown below.

       _____
   55 | 660
   

2. Divide: How many times does 55 go into 66? It goes in once (55 x 1 = 55). Write the '1' above the '6' in the dividend.

       1____
   55 | 660
   

3. Multiply: Multiply the quotient (1) by the divisor (55): 1 x 55 = 55. Write this below the 66.

       1____
   55 | 660
       55
   

4. Subtract: Subtract 55 from 66: 66 - 55 = 11.

       1____
   55 | 660
       55
       --
       11
   

5. Bring down: Bring down the next digit from the dividend (0).

       1____
   55 | 660
       55
       --
       110
   

6. Divide again: How many times does 55 go into 110? It goes in twice (55 x 2 = 110). Write the '2' above the '0' in the dividend.

       12___
   55 | 660
       55
       --
       110
   

7. Multiply: Multiply the quotient (2) by the divisor (55): 2 x 55 = 110. Write this below the 110.

       12___
   55 | 660
       55
       --
       110
       110
   

8. Subtract: Subtract 110 from 110: 110 - 110 = 0. There is no remainder.

       12
   55 | 660
       55
       --
       110
       110
       --
         0
   

Therefore, 660 ÷ 55 = 12.

Method 2: Using a Calculator

While understanding long division is valuable, using a calculator provides a quick solution for 66 ÷ 5.5. Simply input the numbers and press the division button. The answer, as confirmed by long division, is 12.

Conclusion

We've successfully solved 66 divided by 5.5 using both long division (after simplifying the decimals) and a calculator. The answer is 12. Remember, understanding the underlying mathematical processes is key to building your mathematical abilities, even if you sometimes use a calculator for speed and convenience. Now you can tackle similar division problems with confidence!