Localization of power series and module structure

Let $R=mathbb{Q}[X,Y]$ be the polynomial ring of two commuting variable.
Let $S$ be the multiplicative subset of $R$ generated by homogeneous linear polynomials.
Let also $widehat{R}$ be the ring of formal power series in $X,Y,$
and $widehat{R}_S$ be the localization of $widehat{R}$ at $S.$
$widehat{R}_S$ is a $R-$module in the natural way.
Let $widehat{R}_S^0$ be the quotient $widehat{R}_S/mathbb{Q},$ all three
considered as Abelian groups.

Question: Is there a $R-$module structure on $widehat{R}_S^{0},$
which makes the quotient map a morphism of $R-$modules?

The question showed up when trying to make a distribution valued modular symbol.
The distributions map to power series via a Fourier transform.
One kills the constants as one way to make the Manin relations work.