Rebuilding Billy

Billie, wife of Billy (confusing), loved jigsaw puzzles.
Billy was desperate to please her,
So he set to work turning himself into one.
He scattered himself throughout the house.
Billie had to piece him back together.
She wasn't great with anatomy,
And she struggled to see through the tears,
And she was busy calling him an idiot,
So the whole thing took too long really.
Billy's whole plan had backfired.
She wasn't pleased at all.