\documentclass{scrartcl}

\usepackage{enumitem}

\begin{document}

Some text

\begin{enumerate}[resume]
   \item item 1
   \item item 2
\end{enumerate}

more text

\begin{enumerate}[resume]
   \item item 3
   \item item 4
\end{enumerate}

and even more.

\end{document}
