Politely "echoing" flexoprinting/Chuck... that the topic would be better served in a mechanical forum.
tygerdawg also provides useful feedback.
To answer the original question of, "...how to go about disassembling it?"
The first place to start, would be to acquire a valid drawing of the internal assembly.
It serves as an aid in determining how the components mate with each other.
Obtaining a drawing is not always possible as may be the situation with this gearbox.
The next thing you'll need is access to some type of press.
An arbor press may be useful, and better yet, an H Frame Hydraulic Shop Floor Press.
You will also need pieces of random sizes of steel material (pieces of key stock, thick
washers, or even specifically shaped steel items) to provide the necessary support when
pressing on components to get them to move/separate from each other.
This would also include cylindrical shaped items to be used in pressing shafts
entirely through mating gears.
(You'll need additional items for re-assembly of the gears and bearings back in place.)
You may need a source of heat. A portable oxy acetylene torch set for example.
And in all this talk relating to "pressing", you'll also have to remain mindful
of the gearbox housing. It appears to be made from cast aluminum which may crack
and break if something is not adequately supported during a pressing operation.
Having said all of the above, what you'll need most... is time.
For if you've not taken the item apart before, and this is the first gearbox you've
attempted to dismantle, you're going to need ample patience coupled to that time as well.
There's always the rarity where the items might be knocked apart using a large mallet,
soft face hammers, and so on... because of possible loose gear-fit/bearing fit tolerances.
And the gearbox is not that large/heavy to handle manually, so that's in your favor.
Less I forget, you may even need a flashlight to carefully see how your press/support items
are placed during the pressing operations.
And.... Perhaps the most important item you'll need?
Please wear eye protection.
Good Luck!
John