An interpretation of the Riemann-Stieltjes integral

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Suppose we have an Stieltjes integral $h=\int f dg$ then use the fundamental theorem to get $dh=fdg$ and divide by $dg$ i.e $\frac{dh}{dg}=f$.

Is this meaningful and if so does anyone know any situation/application where this occurs?

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Seperation of variables is a textbook example!