76 divided by 8

Guri Bee

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20-10-2024

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76 Divided by 8: Understanding Division and Its Applications

Division is a fundamental arithmetic operation that involves splitting a whole into equal parts. In this article, we will explore the division of 76 by 8, explaining the process and highlighting its practical applications.

The Problem: 76 Divided by 8

When we ask "76 divided by 8," we are essentially asking how many times 8 fits into 76. This can be represented as:

76 ÷ 8 = ? 

The Solution: Using Long Division

One way to find the answer is through long division:

     9
   -----
8 | 76
     72
     ---
       4 

Here's the breakdown:

1. Divide: 8 goes into 76 nine times (9 x 8 = 72).
2. Subtract: Subtract 72 from 76, leaving a remainder of 4.
3. Result: The quotient is 9, and the remainder is 4. This means 76 can be divided by 8 nine times with a remainder of 4.

Expressing the Result

We can express the result in a few different ways:

• Quotient and Remainder: 76 ÷ 8 = 9 remainder 4
• Decimal: 76 ÷ 8 = 9.5
• Fraction: 76 ÷ 8 = 9 1/2

Practical Applications of Division

Division is used in countless real-world situations:

• Sharing Equally: If you have 76 cookies and want to share them equally amongst 8 friends, each friend would get 9 cookies with 4 leftover.
• Calculating Unit Cost: If 8 apples cost $76, then each apple costs $9.50.
• Measuring Proportions: If a recipe calls for 76 grams of flour and you want to halve the recipe, you would need 38 grams of flour (76 ÷ 2 = 38).

Beyond the Basics

Understanding division is crucial for many mathematical concepts. It forms the basis for fractions, decimals, ratios, and even more advanced topics like algebra and calculus.

Conclusion

Dividing 76 by 8 reveals a quotient of 9 and a remainder of 4. This simple arithmetic operation has numerous real-world applications and lays the foundation for more complex mathematical concepts.