16divided by485

Daniel Parker

2 min read

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28-02-2025

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16 Divided by 485: A Step-by-Step Guide to Decimal Division

This article will guide you through the process of dividing 16 by 485, explaining the steps clearly and demonstrating how to obtain an accurate decimal result. Understanding decimal division is crucial in many areas, from everyday calculations to advanced mathematics.

Understanding the Problem: 16 ÷ 485

The problem "16 divided by 485" asks us to find out how many times 485 goes into 16. Since 485 is significantly larger than 16, we know the answer will be a decimal number less than 1.

Step-by-Step Calculation

We'll use long division to solve this. Because 16 is smaller than 485, we'll need to add a decimal point and zeros to the dividend (16) to continue the division process.

1. Set up the long division:

       ____________
   485 | 16.0000
   

2. Place the decimal point: Since we're dividing 16 by 485, add a decimal point to the dividend (16) and add zeros as needed. This doesn't change the value but allows us to perform the division.

3. Divide: 485 does not go into 16, so we move to the next place value:

       0.__________
   485 | 16.0000
   

   Now we consider 160. 485 does not go into 160 either. We add another zero:

      0.0__________
   485 | 16.0000
   

   Now consider 1600. 485 goes into 1600 three times (485 x 3 = 1455)

       0.03________
   485 | 16.0000
       -1455
       _______
         1450
   

4. Continue the process: Bring down the next zero:

       0.03________
   485 | 16.0000
       -1455
       _______
         1450
   

   Now we divide 1450 by 485. 485 goes into 1450 approximately 2 times (485 x 2 = 970).

       0.032_______
   485 | 16.0000
       -1455
       _______
         1450
        -970
        _____
         480
   

5. Repeat as needed: Continue this process until you reach the desired level of accuracy or a repeating pattern emerges. This will result in a non-terminating decimal.

6. Final Answer (approximate): After several more steps, you will find that 16 divided by 485 is approximately 0.033006. The more zeros you add, the more precise the answer.

Using a Calculator

The easiest way to calculate 16 divided by 485 is using a calculator. Simply enter 16 ÷ 485 and you'll get the decimal answer instantly.

Conclusion

Dividing 16 by 485 results in a small decimal number because the divisor (485) is much larger than the dividend (16). The long division method, while requiring patience, provides a thorough understanding of the process. Calculators offer a quick and accurate way to obtain the result for practical purposes. Remember to round your answer to the appropriate number of decimal places depending on the context of the problem.