Search your library for an artifact card, reveal it, put it into your hand, shuffle, then discard a card at random. If an artifact card was discarded this way, Reckless Handling deals 2 damage to each opponent.
You can't do anything between putting the artifact card you found in your hand and discarding. You may end up discarding that card. But hey, if you do, 2 damage!
You discard a card at random even if you didn't find an artifact card in your library.