Disk quotas are enabled or not enabled on each partition. Disk quotas can be enabled on the root partition.
Disk quotas are set or not set for each user and/or user group.
You have to install the quota system administration tools to use disk quotas. (quota and quotatools)
Look here for more details:
http://www.linuxhomenetworking.com/w...ge_with_Quotas
That article was written in 2010 so it is up to date.
Be careful. Disk quotas can cause problems that are difficult to diagnose if you forget that quotas are enabled. (i.e. user cannot create a file when the partition has plenty of space and other users can create files)