2500 divided by 7
Understand the Problem
The question is asking for the result of dividing 2500 by 7. This is a basic arithmetic problem that requires a step-by-step calculation to find the quotient.
Answer
$357$ with a remainder of $1$
Answer for screen readers
The quotient of $2500$ divided by $7$ is $357$ with a remainder of $1$.
Steps to Solve
- Set up the division
We want to divide $2500$ by $7$. We can express this as:
$$ \text{Quotient} = \frac{2500}{7} $$
- Perform the division
Now, let's carry out the division:
$$ 2500 \div 7 \approx 357.14 $$
- Identify the quotient and remainder
The result of the division gives us a quotient of $357$ with a remainder. To find the remainder, calculate:
$$ \text{Remainder} = 2500 - (357 \times 7) $$
Calculating $357 \times 7$:
$$ 357 \times 7 = 2499 $$
So,
$$ \text{Remainder} = 2500 - 2499 = 1 $$
- Final result formulation
The result can be expressed in terms of quotient and remainder as:
$$ 2500 = 7 \times 357 + 1 $$
Thus, the final answer is $357$ with a remainder of $1$.
The quotient of $2500$ divided by $7$ is $357$ with a remainder of $1$.
More Information
When performing long division, any integer division results can be expressed in two forms: the quotient and the remainder. Here, $2500$ divided by $7$ equals $357$ with a small remainder of $1$. This demonstrates how division can break down into simple terms.
Tips
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