53 divided by 6
Understand the Problem
The question is asking for the result of dividing 53 by 6, which is a straightforward arithmetic operation.
Answer
The result is $8 \frac{5}{6}$ or approximately $8.83$.
Answer for screen readers
The result of dividing 53 by 6 is approximately $8.83$ or $8 \frac{5}{6}$.
Steps to Solve
- Set Up the Division Problem
We will divide 53 by 6. The mathematical representation of this is:
$$ 53 \div 6 $$
- Perform Long Division
We divide 53 by 6. Since 6 goes into 53, we determine how many times it fits without exceeding:
6 fits into 53 a total of 8 times, since:
$$ 6 \times 8 = 48 $$
- Calculate the Remainder
Next, we will find the remainder by subtracting the product from our original number:
$$ 53 - 48 = 5 $$
- Express the Result
The final result can be expressed as:
$$ 8 \text{ R } 5 $$
This means there are 8 whole numbers with a remainder of 5. It can also be written as a mixed number:
$$ 8 \frac{5}{6} $$
- Convert to Decimal (if needed)
To express the result in decimal form, we divide the remainder by the divisor:
$$ \frac{5}{6} \approx 0.8333 $$
Adding this to the whole part:
$$ 8 + 0.8333 \approx 8.8333 $$
The result of dividing 53 by 6 is approximately $8.83$ or $8 \frac{5}{6}$.
More Information
Dividing numbers can yield whole numbers with remainders, fractional parts, or decimal values. In this case, 8 can be viewed with a remainder of 5 or as a decimal of approximately 8.8333.
Tips
- Miscalculating the product: Double-check the multiplication of the divisor by the estimated quotient.
- Confusing remainder with the answer: Remember that the remainder should be smaller than the divisor.