If you can't do a pullup, the guy in OP is doing something that will do fuck-all for helping you out.
Instead, do inverted body rows (also called Australian pullups and fatman pullups) by laying a metal bar across two equal-height chairs, and row your bodyweight. Start with feet apart on floor, knees bent. Progress by putting feet together, then feet apart with legs straight, then bring feet closer together. Eventually you can elevate your feet.
Also, do BB or dumbbell rows to build up your lats, and plenty of grip exercises (wrist curls, reverse curls, hammer curls).
Pulling yourself across the linoleum floor is a waste of time.