If you decide to disassemble even the lower side of the box (where the ring gear lives), you will find that there are a number of shims that are on cross bolts. Make sure that you keep track of where each and every bolt / washer / shim came from, and assemble it the same way when you put it back together.
From my experience (in which I was a helper, and not the journeyman), working on the ZF is a job where you need to reassemble it exactly like it came apart.
It's not the kind of thing where you throw all the bolts / nuts / washers into a coffee can and then hope you remember where they went when you are putting it back together.
Rocky
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