Sweep or vacuum the floor daily. This removes loose dirt, food crumbs and other pieces of debris that can accumulate on tile floors. Dirt that is allowed to sit in wet areas can quickly turn into hard-to-remove grime.
Mop the floor with warm water. If the floor doesn't have stains or require heavy cleaning, running a damp mop over the floor will be sufficient to keep it clean. Cleanse the mop in fresh warm water after mopping one section of the room, and repeat until the entire floor is mopped.
Dry the floor. Whether you use water or water mixed with detergent, run a dry mop over the floor in small sections as you work across the room with your mop. This will prevent new dirt from quickly accumulating and staining the grout.