When the two piles are regathered, the remaining cards at this point are then dealt into a single pile. Even at this point, the search stops when a royal-flush card is found and the cards on top of it are discarded.
When the two stacks are recombined, the remaining cards at this juncture are then distributed into a single stack. The search concludes when a royal-flush card is discovered and the cards above it are discarded.