165 divided by 12
Understand the Problem
The question is asking for the result of dividing 165 by 12. This is a simple arithmetic operation that will yield a quotient and potentially a remainder.
Answer
$13$ remainder $9$
Answer for screen readers
The result of dividing $165$ by $12$ is $13$ with a remainder of $9$.
Steps to Solve
- Set up the division operation
We will divide $165$ by $12$ to find the quotient and remainder. The operation can be expressed as:
$$ 165 \div 12 $$
- Perform the division
To find out how many times $12$ fits into $165$, we can perform the division:
$$ 165 \div 12 = 13.75 $$
This indicates that $12$ goes into $165$ a total of $13$ whole times, with a decimal indicating there is a remainder.
- Calculate the remainder
To find the remainder, we can multiply the whole number quotient by the divisor and subtract from the original number:
First, calculate the product of the quotient and divisor:
$$ 13 \times 12 = 156 $$
Now, subtract this result from the original number:
$$ 165 - 156 = 9 $$
Thus, the remainder is $9$.
- Present the final result
The result of the division can be expressed in terms of quotient and remainder as:
$$ 165 = 12 \times 13 + 9 $$
Therefore, the quotient is $13$ and the remainder is $9$.
The result of dividing $165$ by $12$ is $13$ with a remainder of $9$.
More Information
When dividing, the quotient gives you how many whole times one number fits into another, while the remainder shows what's left over. In this case, dividing $165$ by $12$ tells us that $12$ fits into $165$ a total of $13$ times, with $9$ left over.
Tips
- A common mistake is forgetting to include the remainder in the final answer. Always provide both the quotient and remainder when completing a division operation that does not result in a whole number.
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