Tough question. I'd try and see if the system has any way to enforce that certain fields that you require are entered, try and have whatever bugs that are critical coming across your eyes somehow (email, rss) so you can pounce quickly, but mostly that your team is aware of the quality standard and keep to it, guidelines are published and public, that sort of thing.
Assuming it's your team:
If you can have a certain structure that is used every time in a comments field, of what is expected when it is entered, then that would be good too - even better if your software has a default notes outline where you can define that structure on a blank form.
To some degree though, it's up to the individual, they have to be aware that it's part of the communication standards, it's expected as a job requirement, and that they're responsible to every other member of the team - because other people shouldn't be in a position of hunting them down to find out any further details if it could be avoided.
Especially since the turnaround time on fixing bugs on lower priority items could be some time and people are bound to be forgetful on the details.
Assuming it's users:
You can't to a high degree, but I'd try - if possible, to ask questions on whatever form in a way that people could understand.
Not entirely on this topic, but in a "how you ask the questions" kind of way, is this post on 37 Signals blog - link text
Even if you have to have another form asking the questions visible to your users, that only feeds mostly the data to bug program, I'd do it just to ask the right questions.
What product? What version (pictures showing how to find it)? It'd be helpful to include a screen dump, if they could open the program and press a button to send through a log file automatically, whether it stopped them from doing further work, whether it lost their changes, etc.
For the users it's probably more about how you ask the questions, and letting them know that you require certain ones to be answered, or which ones you'd find more helpful, then you'd probably get better responses.