By quickly I'm sure you mean "one complete cycle" of the battery, right?
You are literally talking about adding about 1/4 of 1% to the total cycles of the battery.
Li-Ion are NOT prone to "memory" like Nickel-Cadmium batteries are.
Li-Ion are NOT damaged or otherwise harmed by discharging the battery fully.
Li-Ion are typically rated for 500 battery cycles.
1 "cycle" is defined as taking a fully charged battery, fully discharging it, then fully recharging it. If you take a fully charged battery and drain it to 50%, then charge it to full, then drain it to 50%, then charge it to full, thats also 1 "cycle". Li-Ion cannot be "overcharged". There is a circuit that is part of the battery pack that prevents overcharging, overheating, or short circuiting the battery. There is a small fuse in the circuit that blows if the circuit thinks something is wrong. Li-Ion batteries, if the catch on fire, make a very big mess. They can burn through just about any material on Earth and they do not extinguish when Oxygen is removed. They're actually very dangerous to just "carry" in your pocket like we do, and those protective circuits are why these batteries are safe to carry next to our unmentionables without worrying about it.
There's so many misconceptions about Li-Ion batteries it's rather depressing. Battery technology was my specialty in the Navy.
I could write a book about the technical reasons why alot of the misconceptions are false, but if you're really interested Googling will probably give you enough details to understand it.