When using a mop, there are a few steps to take to get the most success out of your mopping endeavors.
Start by thoroughly sweeping the area to be mopped. The last thing you want to do is simply move loose dirt around on the floor; that will only make a bigger mess. Sweep and
dust mop, if necessary, to collect as much loose dirt and dust particles as possible.
Use clean water and a clean container. Anything that's in the water or container will be transferred to the mop and then transferred to the floor, so make it clean, fresh, and clear.
Use the proper cleaning solution for the type of floor.
For ceramic/tile floors, a little vinegar will do the trick, or add a bit of dish soap for something a bit stronger. For laminate floors, vinegar works, or vinegar mixed with rubbing alcohol, or Windex, or a
floor cleaner specified for wood.
For linoleum floors, almost any type of all-purpose cleaner, well diluted, will do the trick. Sometimes hot water will be enough. For wood floors, cut way back on the water. The mop should be only slightly damp. Use a cleaner specified for wood floors.
For concrete or stone floors, damp mop with an all-purpose cleaner or gentle soap and be sure to use rinse water on your mop to remove any cleaning residue.
Rinse your mop often while mopping. Have a bucket of water with your cleaning solution and a bucket of clear, warm rinse water (this may not be necessary or recommended with hardwood floors).
You should never see "standing water" after you mop. If you do, use the mop, a sponge, or dry towels to soak up the excess water up from the floor.