The common way to check for all partition disk space, how much is still remain, you can simple use
Usually I will put -h to make it size human readable.
Another good tools to check the disk space for directories, we use du. You may realized that when you type ls -l, the size of every directories have the same size 4096, it is because directories is actually a file. But for us, we want to know how large the load it store instead the directory file itself.
To show all directories size including sub directories, type
To calculate the current directory size you are in (-s stand for summary)
To show all the 1 level sub directories size (which you are not interested at sub sub directories.)
du -sh *
To show the size of specific directory
du -sh /home
To show the size of all sub directories of a specific directory
du -sh /home/*