When we had the Flash Flood problems we were using 17 Dutch style DWEILEN for mopping up the ground water that came in our basement. Besides the two wet vacs that we ran all the time. What a job. I ended up ordering 6 more of these Dutch Witte Dweilen, from Michigan's VanderVeen's also called: The Dutch Store. Just click on both links and you also might want to get their Dutch Chocolate Letters in time for the holiday season.
From Albert Heijn
A 50 x 60 cm DWEIL in white cotton...
It is woven such that it has a high absorption of water.
The way I use this is with a squeegee that I place over the wet 'dweil'. This one is dry, just for demonstrating on our balcony.
Next you turn the 'dweil' over the squeegee and now you can move over your tiles.
I do this with a wet 'dweil' then I rinse it out and wring it dry and go over the same spot again for drying it off.
Those cotton dweilen (plural for dweil) I throw into my Miele washer and they get laundered on 170°F for cleaning and disinfecting them for the next use. This is a very hygienic way of mopping floors.