What Does 118 Divided By 21 Mean?
Introduction
When faced with a mathematical expression such as “118 divided by 21,” many individuals might wonder what it means and how they can arrive at the answer. Division is an essential arithmetic operation that allows us to divide a number into equal parts or groups. In this article, we will explore the meaning of 118 divided by 21 and discuss how to calculate the result.
The Concept of Division
Division is a mathematical operation used to distribute a quantity equally into a given number of parts. It is the opposite of multiplication. Instead of finding the total of equal groups, division helps us determine how many groups can be formed from a given quantity.
The Calculation
When we divide 118 by 21, we are essentially trying to find out how many times 21 can be subtracted from 118 without going into negative numbers. This process involves dividing the dividend (118) by the divisor (21) and obtaining a quotient.
Using long division, we write 118 as the dividend and 21 as the divisor. We start by dividing the largest possible multiple of 21 from 118, which is 5. We write 5 as the quotient above the division line and subtract the product of 5 and 21 (105) from 118. The remainder is then brought down, and the process is repeated until there is no remainder left.
118 ÷ 21 = 5 remainder 13
Therefore, 118 divided by 21 is equal to 5 with a remainder of 13.
Interpretation
The result of 5 with a remainder of 13 means that 118 can be divided into 21 equal groups 5 times, with an additional 13 units left over. In other words, if we distribute 118 items into groups of 21, we can create 5 full groups of 21 items, and there will be 13 remaining items that cannot form a complete group.
It is important to note that if we were looking for an exact division without a remainder, we would have to use a different approach, such as decimal division or fractions. However, in this case, we have obtained the result using whole numbers.
Applications
Understanding division and its results is crucial in various real-world scenarios. For example, when dividing resources among a team, knowing how many equal portions can be distributed helps ensure fairness and efficiency. In financial calculations, division is employed to distribute funds or calculate prices based on a per-unit basis.
Moreover, division is an integral part of more advanced mathematical concepts such as ratios, proportions, and percentages. It provides the foundation for more complex calculations and problem-solving in fields such as engineering, physics, and economics.
Conclusion
In conclusion, 118 divided by 21 is equal to 5 with a remainder of 13. Division is a fundamental arithmetic operation that allows us to distribute quantities equally into parts. By understanding the concept of division and how to calculate the result, we can apply this knowledge to real-life scenarios and solve more complex mathematical problems.
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