Maybe it's me but I really hate breaches. Unless I'm in a party I'm almost guaranteed to die every time and I prefer to solo. I'm having shoulder problems so playing a character with a lot of active arm motion puts me in agony, so I'm mostly using a flame totem or a flame blast toon. Either one gets overwhelmed almost immediately. But apparently others have mastered them as the economy is highly inflated now. Stuff I could buy for 10-40 chaos in prior leagues is now multiple exalts. My latest (and final) approach is to build my flame totem for a while longer (now level 77) to see if he can ever handle breaches. If not I'll probably step back from Path of Exile as I doubt I'll ever get to the high end material.
I was having the same issue.
Basically if you have to stop at any point to do anything while in a breach you die.
Also, are you riding the outside of the breach? If you are standing inside your chances of dying go up dramatically. Most people ride the outside edge of the breach as it expands if they don't have a good breach build.
Those running massive AoE totem, minion, or cyclone builds basically laugh at breaches. Only because those builds let you stay mobile the entire time while doing damage. If you can't do that in your build then ride the outside of the breach or don't do them until you can.