What does this modular relation mean, if anything? 
Let $x$ and $y$ be real numbers.
Suppose $\dfrac{x}{y \bmod x}$ is a natural number.
What does that say about the relationship between $x$ and $y$?

If $x$ and $y$ are naturals themselves, then I think it means that $x$ is some multiple of $y$ plus some divisor of $y$, but I'm a little fuzzy on what it would mean if $x$ and $y$ are reals.
Thank you.

I think it means that $y$ is $x$ divided by an integer plus some integral multiple of $x$.
