You probably won't have a moment where you just completely stop and never turn back. It's possible, but highly unlikely. But I can tell you this: You can get better at restraining fapping, even when you continue to do it. I used to be like you, I could barely go a fucking day without intense urges to masturbate. But you have to keep restraining as much as possible. Keep trying to get a high streak, always beat your record of how many days you've gone without masturbation. One day you'll realize that it's incredibly easy to go a day without fapping, then two days without fapping. Then it'll be easy to go a week without fapping. I'm about 2 weeks into nofap 2017 and it's been fairly easy so far. But I've also built up a level of control over myself. 2 years ago I would have been bashing my head into my keyboard from the "torture" of having went 2 days without a fap. Just keep chipping away at this dependency you have on masturbation. It takes time but you can do it. You'll always have to deal with sexual urges, but you can get better and better at resisting and controlling them.
Some tips:
-Having a job helps. There's an old saying that goes "Idle hands are the devil's plaything". It means that free time is when you're the most vulnerable to depraved behavior. Having a job means there's a whole 8, 10, or maybe 12-hour block where you don't have the free time to fap.
-Cut back on caffeine (don't quit caffeine cold turkey, it's dangerous --just reduce it a little) and buy melatonin tablets. Don't drink any caffeine in the 8 hours prior to your bedtime. Do this so that you don't have to rely on fapping to go to sleep. If you suddenly quit fapping, it is incredibly difficult to resist the urge to fap when its 2 hours past the time when you should have already been asleep and you're wide awake in bed. It helps to turn out all the lights and get off the computer an hour before bedtime. What I like to do is listen to podcasts on my phone in the hour before I hit the hay.
-Your biggest enemy is you. You, that has the weak mental state. You, that pipes into your thought process and tells you to fap because you're "stressed out". You, that gives yourself the "brilliant idea" that you'll be able to fap once a month and "be fine". You, that rationalizes the very addiction that has stolen hundreds, perhaps thousands of hours from you. Fuck. That. Noise.