How to solve stationary disribution with higher dimension?

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I have a problem with stationary disribution for Markov chain. Let say we have

$\pi P=\pi$

where P is $n\times n$ transition matrix and $\pi$ is $n\times 1$ vector. Then, we have

$\pi (P-I)=0$.

If we have $n=3$, then we can solve this problem easily. But what happen if we have $n>20$ (for example $n=30$), how we can solve this problem to find the value for $\pi$? Thank you.