Calculate 25000 Divided By 12: Quick And Easy Solution!
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To solve the problem of dividing 25,000 by 12, we can explore this in a structured manner. Division, as one of the fundamental mathematical operations, helps us in various real-life situations, from sharing items equally to calculating averages. In this article, we will break down the steps involved in calculating 25,000 divided by 12, providing a clear and easy solution.
Understanding the Division Process
What is Division?
Division is the process of splitting a number into equal parts. The number you are dividing is called the dividend (in this case, 25,000), the number you are dividing by is called the divisor (in this case, 12), and the result is known as the quotient.
Division Symbol
The division operation can be represented in several ways:
- Using the division symbol (÷)
- Using a slash (/)
- Using the word "divided by"
So, we can express 25,000 divided by 12 as:
- 25,000 ÷ 12
- 25,000 / 12
The Calculation
To compute 25,000 ÷ 12, we can perform long division or use a calculator. Here’s how we can do it manually.
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Long Division Setup
We set up the long division with 25,000 inside the division bracket and 12 outside it.
______ 12 | 25000 -
Step-by-Step Calculation
- First, determine how many times 12 fits into the first digits of 25,000.
- 12 goes into 25, 2 times (since 12 * 2 = 24).
- Write 2 above the division bracket and subtract 24 from 25, leaving us with 1.
- Bring down the next digit (0), making it 10.
2 ______ 12 | 25000 - 24 ----- 10- Now, 12 fits into 10, 0 times. Write 0 above and bring down the next 0, making it 100.
20 ______ 12 | 25000 - 24 ----- 100- Next, determine how many times 12 fits into 100. It goes in 8 times (since 12 * 8 = 96).
- Write 8 above the division bracket and subtract 96 from 100, leaving us with 4.
- Bring down the next digit (0), making it 40.
208 ______ 12 | 25000 - 24 ----- 100 - 96 ----- 40- Now, 12 fits into 40, 3 times (since 12 * 3 = 36).
- Write 3 above and subtract 36 from 40, leaving us with 4.
2083 ______ 12 | 25000 - 24 ----- 100 - 96 ----- 40 - 36 ----- 4- There are no more digits to bring down, so we can express this as:
2083 R4This means that 25,000 divided by 12 equals 2083 with a remainder of 4.
Converting the Remainder
To convert the remainder into a decimal, we can express 4 as a fraction of 12, i.e., 4/12, which simplifies to 1/3 or approximately 0.3333 when converted to decimal.
Now, adding this decimal to the whole number quotient:
[ 2083 + 0.3333 \approx 2083.33 ]
Final Answer
Thus, the result of dividing 25,000 by 12 is:
2083.33
Summary
To summarize, dividing 25,000 by 12 involves understanding the division process and performing either long division or using a calculator to arrive at the answer. The quotient is approximately 2083.33 when expressed as a decimal.
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 25000 | 12 | 2083 | 4 |
Understanding these steps makes division clear and easy, transforming complex problems into straightforward calculations. Whether for everyday tasks or academic purposes, mastering division can greatly enhance your mathematical skills.