Answer:
The three-domain system classifies all living things into one of three large domains: Archaea, Bacteria, and Eukarya.
The Eukarya domain contains all organisms with eukaryotic cells. From the classification system, then, the Eukarya domain would contain all members of kingdoms Protista, Fungi, Plantae, and Animalia.
The organisms that our system puts in kingdom Monera would go into either the Archaea domain or the Bacteria domain, depending on certain characteristics.
Those prokaryotic organisms that live in very extreme environments such as boiling hot springs or incredibly salty lakes belong in domain Archaea, while those prokaryotic organisms that live in more "normal" environments would belong in domain Bacteria.
Most users of the three-domain system have only one kingdom in Archaea and only one kingdom in Bacteria, but they have many kingdoms in Eukarya. Some users of the three-domain system have kingdoms Protista, Fungi, Plantae, and Animalia in the Eukarya domain, but most split domain Eukarya into many, many different kingdoms.
Partial source: "Exploring Creation with Biology" by Dr. Jay L. Wile