What is the quotient when 72 is divided by 8
The Correct Answer and Explanation is :
The quotient when 72 is divided by 8 is 9.
Here’s a breakdown of the division:
Step 1: Understand the Division Process
Division is essentially the process of distributing a number (the dividend) into equal parts, and determining how many of those parts fit into the number. In this case, 72 is the dividend, and 8 is the divisor. The quotient is the result of this division.
Step 2: Perform the Division
We begin by asking how many times 8 can be multiplied to get as close to 72 as possible without exceeding it. We know that:
[
8 \times 9 = 72
]
So, 72 can be divided evenly by 8, and the result is 9.
Step 3: Check the Division
To verify, we multiply the quotient (9) by the divisor (8):
[
8 \times 9 = 72
]
Since this matches the original dividend (72), we can confidently say that the quotient is correct.
Step 4: Division as Repeated Subtraction
One way to understand division is through repeated subtraction. If we repeatedly subtract 8 from 72 until we reach 0, we get the following steps:
- 72 – 8 = 64
- 64 – 8 = 56
- 56 – 8 = 48
- 48 – 8 = 40
- 40 – 8 = 32
- 32 – 8 = 24
- 24 – 8 = 16
- 16 – 8 = 8
- 8 – 8 = 0
We subtracted 8 a total of 9 times before reaching 0, confirming that the quotient is indeed 9.
Conclusion
When dividing 72 by 8, the quotient is 9. This result indicates that 72 can be evenly split into 9 parts, each of which is 8. The division process can be understood in various ways, but in this case, simple multiplication and repeated subtraction both lead to the same answer.