How is corruption common in Russia?
Basically, it is as common as you make it. If you don't want to participate in it, you don't have to. But if you want, you'll find plenty of ways and means. These ways and means are being stomped and hacked and slashed, but so far it looks like a fight against a mythical Hydra beast that grows more heads than you cut off. And still the situation seems to be improving slowly: like I said, it is already possible to stay clean of it if you want to, which was totally impossible in the 90s.
Another aspect is regional. As it's said, "The further into the forest, the fatter are the partisans." The further to the province, the more corruption you'll find. More so if you go to the East and to the South. And yet even there it is improving. Only even slower.
Also, it depends on what business you are in. Some are worse than others, some are better.
Is possible have business there without bribes?
Yes, it is possible. Just harder: while with bribes you only have to pay the right guy, without them you need to know all the applicable rules, track their changes, and actually follow them, which is costly and time consuming. Besides, without bribes you'll have to be honest all the time and never cheat, while with bribes you're free to unless you really lose the sense of reality and go too far with it (then you still get busted and yell about how bad the corruption is because you figure that you simply could not pay enough).
But yes, it is possible to run your operation without bribes.
In fact, with time, more and more people realize that bribing in fact just puts them into a more vulnerable and dependent position, because on top of all the wrong things they had/did for the bribe to become a way out, they also have the wrongness of bribery on their hands for the corrupted authorities to blackmail them with.
So more and more people prefer to run their businesses clean. Though many still have to figure out how that's done...
Why are you people dumb enough to keep supporting an obviously corrupt dictator like Putin?
^Such questions fall into a category that I am going to ignore. Because I am so dumb that I even don't know how to react better, if you like.