The void is like a vacuum cleaner. Except one day it can swallow you as well.
The first minion will simply gain the Deathrattle. If it's for example
, the card text becomes "Divine Shield, Taunt, Deathrattle: Equip a 5/3 Ashbringer, Deathrattle: Add the card text of this minion to a random minion" which upon death will bounce to yet another minion. The stacking effects keep stacking until the board is fully cleared at once so there is no minion to bounce to. Since the effect stacks only the card texts, no spells or enchantments can be bounced.