How to wipe the floor with wiping cloth

I mentioned about ironing yesterday. Today I'll write about wiping.
I don't mind wiping the floor  and stirs every day.  How do I wipe them? by mop? no, I use traditional wiping cloth (or used towels).
Like this.

Oh, my knees are not so strong, so I usually get down on my knees.
If I didn't, probably the same thing happened, and probably a worse thing would happen to me.

This is a normal style.
However in her case

I' don't know why such thing happened.

These photos were taken by her grandfather.