コンパイル（タイプセット）された時刻をLaTeXの出力に記録する。

test.tex

% [reference]
% https://tex.stackexchange.com/questions/34424/how-do-i-calculate-n-modulo-3-in-latex

\RequirePackage{plautopatch}
\documentclass[uplatex]{jsarticle}

\makeatletter

\newcommand{\calcQuotient}[2]{{%
	\newcount\@quotient%
	\@quotient=#1\relax%
	\divide \@quotient by #2 \relax%
	\number\@quotient%
}}

\newcommand{\calcModulo}[2]{{%
	\newcount\@modulo%
	\@modulo=#1\relax%
	\divide   \@modulo by #2 \relax%
	\multiply \@modulo by #2 \relax%
	\multiply \@modulo by -1 \relax%
	\advance  \@modulo by #1 \relax%
	\number\@modulo%
}}

\newcommand{\DigitTwo}[1]{\ifnum #1<10 {0#1}\else\relax{#1}\fi}


\newcommand{\TimeCompiled}{{%
	% declare new counters
	\newcount\@bufferTime%
	\newcount\@hourCompiled%
	\newcount\@minuteCompiled%
	% initialize declared counters
	\@bufferTime     = \number\time%
	\@hourCompiled   = \@bufferTime%
	\@minuteCompiled = \@bufferTime%
	% calculate compilied minute (base: \calcModulo)
	\divide   \@minuteCompiled by 60           \relax%
	\multiply \@minuteCompiled by 60           \relax%
	\multiply \@minuteCompiled by -1           \relax%
	\advance  \@minuteCompiled by \@bufferTime \relax%
	% calculate compilied hour (base: \calcModulo)
	\advance  \@hourCompiled by -\@minuteCompiled \relax%
	\divide   \@hourCompiled by 60                \relax%
	% output
	\DigitTwo{\number\@hourCompiled}:\DigitTwo{\number\@minuteCompiled}%
}}


\makeatother

\begin{document}
\calcQuotient{\number\time}{60} % compilied hour
\calcModulo{\number\time}{60}   % compilied minute 
\TimeCompiled
\end{document}