119 Divided By 3: Simplifying The Division Process
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Dividing numbers can often seem like a daunting task, but with a little understanding and practice, it becomes much simpler. In this article, we'll take a close look at the division of 119 by 3, breaking down the steps to make the process easy to grasp. Let's dive in! 🚀
Understanding Division
Division is one of the four basic operations in mathematics, alongside addition, subtraction, and multiplication. When we divide, we are essentially determining how many times one number (the divisor) can fit into another number (the dividend).
In the case of 119 divided by 3, our goal is to find out how many times 3 fits into 119 and what remains afterward. The result will give us a quotient and possibly a remainder.
Step-by-Step Division Process
To simplify the division of 119 by 3, we can follow these steps:
Step 1: Set Up the Problem
Start by writing the division in a format that's easy to follow:
119 ÷ 3
Step 2: Determine How Many Times 3 Fits into 119
We begin by seeing how many times 3 can fit into the first digit (or digits) of 119.
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3 into 1:
- 3 cannot fit into 1. So, we move on to the next digit.
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3 into 11:
- 3 fits into 11 three times (because 3 x 3 = 9). So we place 3 above the line.
Step 3: Subtract
After determining that 3 fits into 11 three times, we perform the subtraction:
11 - 9 = 2
Now we bring down the next digit, which is 9, making our number 29.
Step 4: Repeat the Process
Now we determine how many times 3 fits into 29:
- 3 into 29:
- 3 fits into 29 nine times (3 x 9 = 27).
Again, we place 9 above the line next to the 3.
Step 5: Subtract Again
We now subtract:
29 - 27 = 2
Now, we have completed the division. However, we still have a remainder of 2.
Final Results
Putting it all together, we can summarize our findings:
- Quotient: 39
- Remainder: 2
So, we can express the result of 119 divided by 3 as:
119 ÷ 3 = 39 R2
Or in decimal form, we can convert the remainder:
Remainder 2 can be expressed as 2/3 or approximately 0.67.
So, another way to express this division is:
119 ÷ 3 = 39.67 (approximately)
Understanding Remainders
A remainder is the amount left over after division when the divisor cannot fit evenly into the dividend. In our case, after dividing 119 by 3, we had a remainder of 2, which means if we had more space, we could fit two more parts of 3. Understanding remainders is essential in division as it gives us insight into how division works in practice.
Visual Representation
To better understand the division process, let’s visualize the steps taken. Here’s a table to outline the process clearly:
<table> <tr> <th>Step</th> <th>Action</th> <th>Result</th> </tr> <tr> <td>1</td> <td>Divide 1 by 3</td> <td>3 cannot fit, move on.</td> </tr> <tr> <td>2</td> <td>Divide 11 by 3</td> <td>3 fits 3 times (3 x 3 = 9).</td> </tr> <tr> <td>3</td> <td>Subtract 11 - 9</td> <td>Result is 2.</td> </tr> <tr> <td>4</td> <td>Bring down the next digit (9)</td> <td>New number is 29.</td> </tr> <tr> <td>5</td> <td>Divide 29 by 3</td> <td>3 fits 9 times (3 x 9 = 27).</td> </tr> <tr> <td>6</td> <td>Subtract 29 - 27</td> <td>Result is 2 (remainder).</td> </tr> </table>
Real-Life Applications of Division
Understanding how to divide numbers, such as in the case of 119 divided by 3, is crucial for various real-life situations:
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Sharing Equally: If you have 119 candies and you want to share them among 3 friends, understanding division allows you to know how many candies each person gets.
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Budgeting: If you have a budget of $119 for 3 days, knowing how to divide your budget helps in maintaining your finances for the duration of those days.
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Cooking: Recipes often require measurements that may need to be divided, especially when adjusting serving sizes. If a recipe serves 3 people, and you need it to serve 119, understanding division is key.
Conclusion
Understanding the division process can greatly simplify mathematical tasks. By breaking down the division of 119 by 3 into manageable steps, we not only found the quotient and remainder but also learned a valuable skill applicable in everyday situations. Practice makes perfect, so keep working on your division skills, and soon you'll find yourself breezing through division problems with confidence! 🧠💡