I used this method, along with keeping a log of drinks consumed, to eventually quite drinking over the course of a year. I went from having anywhere from 3-8 drinks a night, every night, to eventually stopping completely. In turn I've been sober 6 years now.
I found keeping the drink log useful both for charting my progress, and also just forcing me to be honest with myself about what I did and did not drink. It's too easy to skew ones memory in favor of having less of a problem if you feel like it.