I don't go into every detail, but it usually takes me 10-15 minutes to write down my dreams. I use it as a memory jogger to make sure I don't completely forget what happened, I don't use it as something I'll be able to analyse a few years onwards.
I'd say wake up earlier to make time for yourself to write your dreams down, and go to sleep earlier as well to compensate for this.
As a last resort you could maybe not write them down when straight away when you wake up, but remember your dreams and really burn them into your memory when you wake up and then write them down properly when you have time

Good luck!