The first thing that occurs to me is to add files until you are about to pass 5 MB, and then start a new archive. Perhaps something like (untested): 
#!/usr/bin/perl -w

use strict;
use Archive::Zip qw/AZ_OK/;
use File::Temp qw/tempfile/;

use constant MB => 1024 * 1024;

my $dir = qw( zip_this/);
my @files = do {
 opendir my $fd, "$dir" or die $! or die $!;
 grep -f, map  "$dir$_", readdir $fd;
};

my $zip = Archive::Zip->new;
my $total = 0;
my $limit = 5*MB;

my $FileCount = 0;
my $archiveCount = 0;

foreach my $file (@files) {

    my $temp = Archive::Zip->new;
   
    my $member = $temp->addFile($file);
    next unless $member->compressedSize;
   
    my $fh = tempfile();
    $temp->writeToFileHandle($fh) == AZ_OK or die $!;
    
    if ($total + $member->compressedSize > $limit) {
        $zip->writeToFileNamed("zipped_$archiveCount.zip") == AZ_OK or
+ die $!;
        $archiveCount++;
        print "Total archive size: $total bytes\n\n";
        $total = 0;
        $zip = Archive::Zip->new;
    }
    
    $zip->addMember($member);
    $total += $member->compressedSize;
}

print "Total archive size: $total bytes\n";

$zip->writeToFileNamed("zipped_$archiveCount.zip") == AZ_OK or die $!;

[download]
Update: Fixed copy/paste scoping bug; see Re^3: Multiple zip files from directories! for information. Also initialized $total as per Anonymous Monk's suggestion below.

In reply to Re: Multiple zip files from directories! by kennethk
in thread Multiple zip files from directories! by Anonymous Monk

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