german_longdivision_test.tex

\documentclass{article}
\usepackage{longdivision}

\ExplSyntaxOn
% Just want to give this stuff a name so it doesn't clutter up the interesting part of \longdiv_typeset:nnn
\cs_set:Nn \longdiv_print_quotient:{
    \bool_if:NF \l__longdiv_seen_digit_bool { \longdiv_linkedlist_remove_tail: }
    \int_compare:nNnTF \l__longdiv_linkedlist_length_int = \c_zero
        { 0 }
        { \l__longdiv_linkedlist_tl }
}

% Replace the name "\longdiv_typeset_german:nnn" with "\longdiv_typeset:nnn" when you actually use this so that it changes the behavior of longdivision.
% I just called it this so I can do a comparison.
%
% #1 = last remainder
% #2 = denominator
% #3 = numerator
% \longdiv_print_quotient: prints the quotient
% \longdiv_typeset_work:n prints the work
\cs_set:Nn \longdiv_typeset_german:nnn  {
    \begin{tabular}[t]{@{}l@{}}
    % Change this part to make the spacing, etc look right
    #3:\,#2 =\, \longdiv_print_quotient: \\
    \longdiv_typeset_work:n { #1 }
    \end{tabular}
}
%
\ExplSyntaxOff

\begin{document}

\longdivision{11}{13}
%
\qquad\qquad
%
\ExplSyntaxOn \let\longdiv_typeset:nnn \longdiv_typeset_german:nnn \ExplSyntaxOff
%
\longdivision{1111}{13}
\end{document}