I did renovation at my apartment as usual there were lots of cement / concrete stains and its dust on the floor tiles.
Using Acid To Remove Concrete Stains & Dusts
After pouring the acid (mix half acid with half water), at same time you need to scrap the floor to remove the concrete / cement stains.
The tiles became clean even some black spots on tiles could be removed.
You can buy the acid at hardware store.
Even though the concrete cement stains were removed but there were still concrete cement dusts.
Using Vinegar to Remove Concrete Cement Dusts
I had use normal floor cleaner, mop the floor few times but it seems the concrete cement dusts still can be felt by my feet.
When I use vinegar (mix half vinegar and half water), then mop the floor the mop was able to trap the dusts more efficiently.
I highly recommend use vinegar to remove the concrete cement dusts as it is cheap solution and it is really effective.