Abstract: A mopping system and methods of its use are disclosed. A mop assembly includes a mop head that is adapted to be spun around a generally vertical rotational axis thereof when the mop head is fixed within a mop head spinning means of a bucket assembly. When the mop head is spun at a relatively high rate of rotational speed, water retained in the mop is forcefully dispelled from the mop by centrifugal force. The water leaves the mop and is retained within a spin chamber of the bucket assembly. A drain plunger is included to allow the collected water to be drained from the bucket assembly. An ozone generator may be included for introducing ozone gas into the collected fouled water in the spin chamber. A clean water tank with a pump and spraying means, mounted within the spin chamber just below the mop head when the mop head is engaged with the mop head spinning means, is preferably included to allow introduction of clean water to the moping surface of the mop head.