  We apply the paracontrolled calculus to study the asymptotic behavior of a
certain quasilinear PDE with smeared mild noise, which originally appears as
the space-time scaling limit of a particle system in random environment on one
dimensional discrete lattice. We establish the convergence result and show a
local in time well-posedness of the limit stochastic PDE with spatial white
noise. It turns out that our limit stochastic PDE does not require any
renormalization. We also show a comparison theorem for the limit equation.
