It is quite simple. Here's an implementation. The apportion figures out chunk sizes; multi_slice returns slices of those sizes. The for block runs a few examples. 
sub apportion {
  my ($elements, $pieces) = @_;
  my $small_chunk = int $elements / $pieces;
  my $oversized_count = $elements % $pieces;
  ((1 + $small_chunk) x ($oversized_count), ($small_chunk) x ($pieces 
+- $oversized_count));
}

sub multi_slice {
  my ($aref, @chunk_sizes) = @_;
  my $hi_i = -1;
  map {
    my $lo_i = $hi_i + 1;
    $hi_i += $_;
    [@$aref[$lo_i..$hi_i]]
  } @chunk_sizes;
}

for my $try ([16,3], [17,4], [19,3]) {
  print "$try->[0] elements into $try->[1] pieces:\n";
  print "Sizes: ", join(', ', apportion(@$try)), "\n";
  print "@$_\n" for multi_slice([1..$try->[0]], apportion(@$try));
}

[download]
Caution: Contents may have been coded under pressure.

In reply to Re^3: breaking an array into nearly equal parts by Roy Johnson
in thread breaking an array into nearly equal parts by santonegro

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.