You need to see a therapist that works with OCD. Therapy and sometimes drugs help.

I will never take any medications for mental problems.

You're not alone. And the struggle can be long and hard. Be patient with yourself. And yes, I agree with @Tired, find a therapist. Medication can help some people, and others choose other avenues of dealing with their OCD. Don't feel like there is one right way to deal with your OCD. The right way for you is the one that works.

If you can afford it go to an OCD therapist. If you can't or they don't have one in your area than look into joining an OCD support group in your area instead as well as staying with this group. That way you have double the support. Also, they have great OCD therapy books and workbooks out there.
In my own experience I've been unable to conquer the large areas in their entirety. Theres' one large area, for example, where I've been able to have partial mastery over a small area(within that larger area) and that's it! I'm still proud of that though. There are other areas where I've been able to reduce my OCD tendencies by half but, again, that's it! The smallest tendencies I've been able to eliminate all together. This type of work, and achievement, took yr.s, persistence, perseverance, and dedication.
In times of high or extreme stress, however, some(or all)of my work will be undone and I'll have severe flare ups in other areas as well. When this happens I know that theres' nothing I can do about it so I do my best to completely surrender this to the God of my understanding. Sometimes I fail, in surrendering, but I always try again. When the stress goes back to normal levels I go ahead and take one area at a time and I redo each area that I need to.