Grep Print From Match to End of Line

How to print a line of text starting from the match until the end of line using grep and regular expressions:

Assuming these are the lines of text in a file called data-file.txt:

# data-file.txt
07/10/1988 Directories for test data /storage/server01/datafile.txt
09/23/1954 legacy backup data /storage/server03/magnetic-1954.tar.bz2

You want to output just the file name, which starts from /storage.

grep -o '/storage.*$' datafile.txt

This will output: