How to divide 864÷36:
Determine how many times 36 can go into 864. 2. Perform the division: 864÷36=24. 3. The answer is 24.
The Correct Answer and Explanation is:
The correct answer to ( 864 \div 36 ) is indeed 24.
Step-by-Step Explanation
To divide 864 by 36, we need to determine how many times 36 fits into 864. This process is known as long division. Here’s how to approach it step-by-step:
- Estimate the Quotient: Start by estimating how many times 36 can go into 864. This can be simplified by considering how many times 36 fits into smaller parts of 864, starting with the leftmost digits.
- Divide the Hundreds Place: Look at the first two digits of 864, which is 86. Since 36 is smaller than 86, we know it can go into 86 at least twice. When we multiply 36 by 2, we get 72, which fits into 86 with some remainder. Subtracting 72 from 86 leaves us with 14.
- Bring Down the Next Digit: Now, bring down the 4 (the next digit in 864) to make it 144.
- Divide Again: Now we divide 144 by 36. We find that 36 fits into 144 exactly 4 times, as ( 36 \times 4 = 144 ).
- No Remainder: Subtracting 144 from 144 leaves no remainder, so the division is complete.
The quotient from this calculation is 24.
Understanding Why 864 ÷ 36 = 24
Another way to understand this division is by thinking of 864 as a large group that you’re dividing into groups of 36. The question is essentially, “How many groups of 36 can be made from 864?” The answer is that you can make exactly 24 groups, with no leftovers.
Verification by Multiplication
To double-check, you can multiply the quotient (24) by the divisor (36). If the result equals the original number (864), the answer is correct:
[
24 \times 36 = 864
]
Since this calculation is accurate, it confirms that 864 divided by 36 is indeed 24.
Practical Application
Division like this is useful in real-world situations, such as when dividing quantities evenly among groups or determining rates and proportions. Understanding how to break down large numbers into smaller parts is valuable for budgeting, planning, and various calculations in both everyday life and advanced mathematics.