Numbered list instead of bullet points within a table

Question

I am using the following code borrowed from here and modified accordingly to write down the steps of an algorithm:

\documentclass{article}
\usepackage{booktabs}
\newcommand{\tabitem}{~~\llap{\textbullet}~~}
\begin{document}
\begin{table}
  \centering
  \begin{tabular}{l}
    \toprule
    \multicolumn{1}{l}{\textbf{Algorithm} } 
    \
    \midrule
    \tabitem This is step 1 \
    \tabitem This is step 2 \
    \tabitem This is step 3 \
    \tabitem This is step 4 \
    \hline
  \end{tabular}
\end{table}
\end{document}

I want to have numbered list instead of bullet points. How can this be done? I am not able to use the enumerate environment as the code is not compiling.

Answer 1

Quick 'n' dirty...

\documentclass{article}
\usepackage{booktabs}
\newcommand{\tabitem}[1]{~~\llap{#1.}~~}% <-- Modified
\begin{document}
\begin{table}
  \centering
  \begin{tabular}{l}
    \toprule
    \multicolumn{1}{l}{\textbf{Algorithm} } 
    \
    \midrule
    \tabitem{1} This is step 1 \
    \tabitem{2} This is step 2 \
    \tabitem{3} This is step 3 \
    \tabitem{4} This is step 4 \
    \hline
  \end{tabular}
\end{table}
\end{document}