  Let $[t]$ be the integral part of the real number $t$.The aim of this short
note is to study the distribution of elements of the set $\mathcal{S}(x) :=
\{[\frac{x}{n}] : 1\le n\le x\}$ in the arithmetical progression
$\{a+dq\}_{d\ge 0}$.Our result is as follows: the asymptotic
formula\begin{equation}\label{YW:result}S(x; q, a):= \sum_{\substack{m\in
\mathcal{S}(x)\\ m\equiv a ({\rm mod}\,q)}} 1 = \frac{2\sqrt{x}}{q} +
O((x/q)^{1/3}\log x)\end{equation}holds uniformly for $x\ge 3$, $1\le q\le
x^{1/4}/(\log x)^{3/2}$ and $1\le a\le q$,where the implied constant is
absolute.The special case of \eqref{YW:result} with fixed $q$ and $a=q$
confirms a recent numeric test of Heyman.
