Print Polyglot Pieces
GolfScript + CJam + Fission 2 + Jelly, 4 languages, 24 bytes, score 2.667
Let's start with the hex dump:
00000000:  3322 3024 700a 2721 2b4f 5222 0a3c 3024 700a 6523 7fff cccc

For GolfScript, CJam and Fission 2, we interpret this in some ASCII-compatible single-byte encoding like ISO 8859-1 (the exact encoding doesn't really matter, because the languages only define operators for ASCII characters anyway):
3&quot;0$p
'!+OR&quot;
&lt;0$p
e#&lt;DEL&gt;ÿÌÌ

Where &lt;DEL&gt; is the control character 0x7f.
In Jelly, this is assumed to be in Jelly's own code page, where it looks like this instead:
3&quot;0$p½'!+OR&quot;½&lt;0$p½e#¶”ṘṘ

GolfScript
The e on the last line is an unknown variable and # comments out the remainder of the line, so this prints
&quot;0$p&quot;
0$p

with a trailing linefeed. This is the GolfScript/CJam polyglot version of the standard quine:
&quot;.p&quot;
.p

Try the polyglot. | Try the quine.
CJam
Here, e# comments out the last line, so almost identically, this prints
&quot;0$p&quot;
0$p

without a trailing linefeed.
Try the polyglot | Try the quine.
Fission
Fission only sees the second line which is the standard Fission quine, so it prints
'!+OR&quot;

I can't provide an online link for the polyglot here, because TIO sends the file to Fission as UTF-8, but Fission reads the source byte by byte, which makes the last line too long. However, I've tested this locally with an ISO 8859-1 encoded file (in which the last line has the same length as the second), to confirm that this works.
Try the quine.
Jelly
The pilcrow is an alias for linefeeds in Jelly, so the source is equivalent to:
3&quot;0$p½'!+OR&quot;½&lt;0$p½e#
”ṘṘ

All but the last line of a Jelly program are &quot;helper links&quot; (i.e. functions) which can be ignored unless they are called, provided they are syntactically valid. This is actually the reason the 3 comes first in the CJam and GolfScript programs, because otherwise the &quot; can't be parsed in Jelly.
Otherwise, since the function isn't called, the program is equivalent to only its second line, which is the standard Jelly quine.
Try the polyglot. | Try the quine.