Generally it’s a device that allows for accurate control of the rotation of a work piece and its fixing at any point (subject to teh coarsness of the divisions available) in said rotation.
There are two sorts (and a third is an extension of the second)
Simple dividing heads consist of a a shaft onto which the workpiece can be fixed with an indexing system (normally a multiple of 12, 60 is popular) that allows you to rotate the wrokpiece to any known indexing division and lock it there.
Complex dividing heads generally use a worm and wheel to control the shaft and allow for much finer control (and many more divisons). You will find designs for COmplex heads that use trains of spur gears to achieve a similar effect or even put the spur chain on the end of the worm to allow for uber-fine control.
Compound dividing heads are basically complex ones with the addition of an extra shaft that can be powered from a gear train off a milling machines table feed. This arrangement allows for spiral milling of slots etc.
I would suggest a model engineer probably needs soemthing to do divisional indexing on and although they will rarely need the full ability of a complex head, let alone a compound one. THere are plenty of designs out there for simple heads and some of them are also designed to be extended into complex ones with addition of the worm,
THings to looki at if you’re interested are the Hemingway Kits version of the GH Thomas Versatile Dividing head, you can make that up in stages, also look at the RDG dividing head as it represents decent value for money. On another tack slightly you could also look at Chronos (and others) who do a rotary table that can have a Myford nose attached and a dividing kit added.
chrisc