77 divided by 8

2025

2 min read 30-03-2025

77 Divided by 8: A Step-by-Step Guide to Long Division

Dividing 77 by 8 might seem simple at first glance, but understanding the process is crucial for mastering long division. This article will guide you through the steps, explaining the concepts behind the calculation. This will help you understand how to solve similar division problems efficiently.

Understanding Long Division

Long division is a method for dividing larger numbers. It breaks down the division problem into smaller, manageable steps. The process involves dividing, multiplying, subtracting, and bringing down. Let's apply this to 77 divided by 8.

Step-by-Step Calculation of 77 ÷ 8

Set up the problem: Write the problem as 8)77. The number you're dividing by (8) goes outside the division symbol, and the number being divided (77) goes inside.
Divide: How many times does 8 go into 7? It doesn't go in at all, so we move to the next digit. How many times does 8 go into 77? It goes in 9 times (8 x 9 = 72). Write the 9 above the 7 in the 77.
Multiply: Multiply the quotient (9) by the divisor (8): 9 x 8 = 72. Write 72 below the 77.
Subtract: Subtract 72 from 77: 77 - 72 = 5. Write the 5 below the 72.
Bring down: There are no more digits to bring down. The 5 is our remainder.
Write the answer: The answer is 9 with a remainder of 5. We can also express this as a mixed number: 9 5/8. Or, as a decimal, approximately 9.625.

The Complete Calculation

Why Understanding Remainders is Important

The remainder (5 in this case) signifies that there's a portion of 77 that couldn't be perfectly divided by 8. It's an important part of the answer, showing the exact result of the division. This is frequently encountered in real-world scenarios such as sharing items or calculating quantities.

Practicing Long Division

The best way to improve your long division skills is through practice. Try dividing different numbers to strengthen your understanding of the process. You can find numerous online resources and practice problems to further hone your skills. Remember, consistent practice leads to mastery!

Alternative Methods: Using a Calculator

While understanding the process of long division is important, a calculator provides a quick and efficient method for obtaining the answer. For 77 divided by 8, simply enter "77 ÷ 8" into a calculator. This will give you the decimal answer, approximately 9.625.

Conclusion: Mastering 77 Divided by 8 and Beyond

By following these steps and practicing regularly, you'll become proficient in long division. Remember, the key is to understand each step—dividing, multiplying, subtracting, and bringing down—to solve even more complex division problems accurately. Understanding 77 divided by 8 provides a solid foundation for tackling more advanced mathematical concepts.