Tus- I'm assuming that "section" is just a further break down of the division. WAY back in boot camp, our division of 90 or so recruits was split 50/50(ish... sometimes we'd get one more, sometimes we'd lose a few) into Port Watch and Starboard Watch Sections. Outside of marching drills and the like, this really served no purpose. I didn't serve on any surface ship, where divisions could easily number 100+, but after the boot, there was no sections.
I'm not sure if the numerical breakdown is a "secret" or not, so I won't get into the actual numbers, but on the good ol' 727, after the CO and XO came the department heads, Nav (navigator), Weps (weapons officer), Eng (engineer), and Chop (supply). Division Officers (Div-O's) were next, usually one officer for each division (there were occasions where we had more officers than divisions, and other occasions where we had less, and some just never got a Div-O).
On the enlisted side, it started with the COB (Chief of the Boat, read: Command Master Chief), next the department master chiefs (not always E9's), and not always chiefs), then division chiefs (Could be E6-E8), then LPO's (Leading Petty Officers, usually a 1st class, but could be 2nd) and then finally the rest of the divisions. Some smaller divisions wouldn't have an LCPO (div. chief) and would report to (through the LPO) to the next closest divisions' chief.
One thing that sticks out is Doc. A one man power division. He was his own LPO, Chief and Div-O. Also usually one of the "cooler" guys on board.
There is a very important thing to note: In the surface fleet, it is an entirely different ball game. Such as two or more divisions of the same type, each with its own div-o, but reporting to yet another officer before reaching the DH. I don't know the full story behind how they ran their show.
For this science vessel, I wouldn't stray too high into the O5-O6 land for DH's. Our DH's were usually only O4's. Even our XO was. (Keeping out of the Movies (Captains Kirk, Spock, Sulu (Pre-Excel, IIRC), and Scott come right to mind...), ST did a good job keeping the officer hierarchy in check. Just remember that O4=Lieutenant Commander. Data, LaForge, older Worf, younger Scott, younger Spock, et al, were all LCDR's, and DH's.
If you need further help, you know how to find me (Email/PM/MSN/Yahoo... should be in profile page).
Czar "Under the Sea..." Mohab, who is only trying to help.