What would trigger the automatic divest event? Do you mean it should automatically divest if you lose too much? I don't like that idea, because it would exacerbate the effect of the bankroll shrinking when players win. Automatically divesting investor profits to keep investment size no bigger than X was recently suggested, and I like that idea.
No, it's fully automatic, on the site. Deposit the 0.05 as if you were going to play dice with it. Then go to the 'invest' tab, read the description of how investing works, then click 'edit' to invest some or all of your balance.
It goes like this:
your-wallet --[deposit]--> JD-balance --[invest]--> JD-investment --[divest]--> JD-balance --[withdraw]--> your-wallet