The division of 742 by 69 is a straightforward mathematical operation. To perform this calculation, we simply divide the dividend, 742, by the divisor, 69.
Division Calculation
The calculation for dividing 742 by 69 can be represented as follows: 742 ÷ 69. Performing this calculation gives us a quotient of 10.75. This result can be obtained using either long division or a calculator.
Calculation Method
To calculate this division manually, we would start by dividing 742 by 69. The first step is to divide 7 (the first digit of 742) by 69, which does not yield a whole number. Then, we move to the next digit, making it 74, and divide 74 by 69, which gives us 1 with a remainder of 5. We then bring down the next digit (2), making it 52, and divide 52 by 69, which gives us 0 with a remainder of 52. Lastly, we divide 52 by 69, which gives us 0 with a remainder of 52. The quotient obtained from these steps is 10, and the remainder is 52. To get the decimal representation, we divide the remainder (52) by the divisor (69), which gives us approximately 0.75. Therefore, the result of dividing 742 by 69 is 10.75.
| Operation | Result |
|---|---|
| 742 ÷ 69 | 10.75 |
| Quotient | 10 |
| Remainder | 52 |
| Decimal Representation | 0.75 |
Practical Applications
Understanding how to divide numbers, even when they do not result in whole numbers, is crucial in various mathematical and real-world applications. For instance, in construction, if you have 742 meters of fencing and you want to divide it into sections that are 69 meters long, you would have 10 full sections with 52 meters of fencing left over, which could potentially be used for a smaller section or saved for another project.
Real-World Example
Consider a scenario where a bakery needs to package 742 cookies into boxes that hold 69 cookies each. By dividing 742 by 69, the bakery determines it can fill 10 boxes completely and will have 52 cookies left. These remaining cookies could be used to make smaller packages or reserved for a future order, demonstrating how division, even with decimals, applies to everyday business operations.
In conclusion, the division of 742 by 69, resulting in 10.75, demonstrates the importance of understanding mathematical operations in both theoretical and practical contexts. This calculation can be applied to various scenarios, from simple arithmetic exercises to complex real-world problems, highlighting the versatility and necessity of division in our daily lives.
What is the quotient and remainder when dividing 742 by 69?
+The quotient is 10, and the remainder is 52. When expressed as a decimal, the result is 10.75.
How can the result of dividing 742 by 69 be applied in real-world scenarios?
+This calculation can be applied in various scenarios such as construction, baking, or any situation where items need to be divided into groups of a specific size, demonstrating its practical utility beyond mere arithmetic.
