write to HD with 5.1.0 on fat orext3

Iam struggling with write enable to any HD partition.
I tried to follow the FAQ, but no result.
Tried from the GUI, with right click, change write rights, nothing. Tried to set rights with properties menu, sometimes finaly right click says write enbled, but nothig can be written.

Tried with command line, chmod to 777, fine was accepted, ls -l says 777 is there, but still can not write. Mounted and unmounted partition, still nothing.
Partition for use are either FAT32 or others even ext3 and are not accepted, thought they are marked as writable.

And now?
Any advise?