  In this paper we consider the (affine) Schur algebra introduced by Vign\'eras
as the endomorphism algebra of certain permutation modules for the
Iwahori-Matsumoto Hecke algebra. This algebra describes, for a general linear
group over a $p$-adic field, a large part of the unipotent block over fields of
characteristic different from $p$. We show that this Schur algebra is, after a
suitable completion, isomorphic to the quiver Schur algebra attached to the
cyclic quiver. The isomorphism is explicit, but nontrivial. As a consequence,
the completed (affine) Schur algebra inherits a grading. As a byproduct we
obtain a detailed description of the algebra with a basis adapted to the
geometric basis of quiver Schur algebras. We illustrate the grading in the
explicit example of $\mathrm{GL}_2(\mathbb{Q}_5)$ in characteristic $3$
