  Let $X$ be a smooth scheme over a finitely generated flat $\mathbb{Z}$-,
$\mathbb{Z}_{(p)}$- or $\mathbb{Z}_p$-algebra $R$. Evaluated at finite
truncation sets $S$, the relative de Rham-Witt complex
$W_S\Omega_{X/R}^{\bullet}$ is a quotient of the de Rham complex
$\Omega^{\bullet}_{W_S(X)/W_S(R)}$, which can be computed affine locally via
explicit, but complicated relations. In this paper we prove that
$W_S\Omega_{X/R}^{\bullet}$ is the torsionless quotient of the usual de Rham
complex $\Omega^{\bullet}_{W_S(X)/W_S(R)}$ on the singular scheme $W_S(X)$.
This result was suggested by comparison with a similar modification of the de
Rham complex in the theory of singular varieties.
