Linux

abc company
abc address
abc contact
^L
my company
my address
my contact
my skills
^L
your company
your address

abc company
abc address
abc contact

my company
my address
my contact
my skills

your company
your address

awk -vRS=$'\f' '{gsub ("^\012", ""); print > "filename" NR ".txt"}' ORS="" file
cf *.txt
filename1.txt:
abc company
abc address
abc contact
filename2.txt:
my company
my address
my contact
my skills
filename3.txt:
your company
your address

NAME
       csplit - split a file into sections determined by context lines

SYNOPSIS
       csplit [OPTION]... FILE PATTERN...

DESCRIPTION
       Output  pieces of FILE separated by PATTERN(s) to files 'xx00', 'xx01',
       ..., and output byte counts of each piece to standard output.