sub bowl {
    ($_,$n)=@_;
    s#(\d)(\d|/(?=(.)))|X(?=(..))|.#
    ($3.$4?"X$3$4":$1.$2,"")[9<$n++]#ge;
    s#./|X#9#g+map{(3)x$_}/./g
}

chomp( @ARGV=<DATA> ) if ! @ARGV;
for my $line ( @ARGV ) {
    print "$line = ", bowl($line), "\n   ";
    for(  0..9  ) {
        print " ",bowl($line,9-$_);
    }
    print $/;
}
__END__
81633470434/72813/62
81633470434/72813/X18
X00X00X00X00X00
00X00X00X00X00X00
X11X11X11X11X11
11X11X11X11X11X11
5/63XX7043X4/813/6

##</code><code>##

6/ 45 X  7/ X3/
14  9 20 20 20
14 23 43 63 83
"6/45X7/X3/"
"6/" matches; $1="6", $2="/", $3="4"; change to "X4"
  "45" matches; $1="4", $2="5"; change to "45"
    "X" matches; $4="7/"; change to "X7/"
     "7/" matches; $1="7", $2="/", $3="X"; change to "XX"
       "X" matches; $4="3/"; change to "X3/"
        "3" matches; change to "$1$2" eq ""
         "/" matches; change to "$1$2" eq ""
(result: "X445X7/XXX3/")

##</code><code>##

sub bowl {
    $_=pop;
    s#(\d\d|.(/))(?=(.))|X(?=(..))|.#$2.$4?"X$3$4":$1#ge;
    s#./|X#9#g+map{(7)x$_}/./g
}

chomp( @ARGV=<DATA> ) if ! @ARGV;
for my $line ( @ARGV ) {
    print "$line = ", bowl($line), $/;
}
__END__
81633470434/72813/62--
81633470434/72813/X18
X00X00X00X00X00--
00X00X00X00X00X00
X11X11X11X11X11--
11X11X11X11X11X11
5/63XX7043X4/813/6