\documentclass[a4paper]{scrartcl}
\usepackage{blindtext}

\newcounter{examplecounter}
\renewcommand{\theexamplecounter}{\arabic{examplecounter}}
\newenvironment{Beispiel}[1][]{%
\goodbreak%
\refstepcounter{examplecounter}%
\begin{list}{}{\setlength{\rightmargin}{\leftmargin}}%
\item[{\textbf{Beispiel~\theexamplecounter:}}]#1\par\nobreak}{%
\end{list}}

\begin{document}
Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla quam 
elit, vestibulum nec facilisis at, condimentum id enim. Sed iaculis 
lacinia quam, vel accumsan eros tempor in. Integer ipsum metus, 
accumsan sit amet commodo a, egestas vitae sem. Mauris ut orci ut 
dolor viverra convallis nec a erat. Aenean consequat elit vel eros 
fermentum vestibulum id at ipsum. In vitae orci mauris, et rhoncus 
odio. Pellentesque habitant morbi tristique senectus et netus et 
malesuada fames ac turpis egestas.

\blindtext[4]

\begin{Beispiel}[A title]
\begin{tabular}{ccc}
    1 & 2 & 3\\
    4 & 5 & 6\\
    7 & 8 & 9
  \end{tabular}
\end{Beispiel}
\end{document}
