To step over or across (physically); figuratively, to overcome or surmount (an obstacle or limit).
溝を踏み越えて向こう側に行った。
He stepped over the ditch and went to the other side.
古い慣習を踏み越えて新しいやり方を導入した。
They broke with old customs and introduced a new method.
自分の弱さを踏み越えるのは簡単ではない。
It's not easy to overcome one's own weaknesses.