As others have noted, you'll likely still owe some taxes. But I myself wouldn't worry about quarterly payments for something this small, the "penalty" is actually just interest on the days beyond when it was due. This was tiny just a couple years ago, but I think with rates moving up might be more like 6% now, so up to u, but not a big deal either way. (I kinda see this as a corollary to all the folks that say over-withholding is giving the government a interest free loan when you could make money off of it instead...here not paying estimates is like taking a 6% loan from the government instead, which is about what we all think of as money being worth invested so kinda evens out).
In the end you waste time figuring and making quarterly payments or you waste time figuring your penalty....like most things with the IRS its just about wasting time one way or another, so pick your poison.....