The basic approach of the Gra and the Litvak yeshivot is learning Torah and trust in God. These two reinforce each other. So when one is spending all day and night in the yeshiva learning Torah one is not thinking about parnasa [making a living]. One tries to walk in this path for his yeshiva years and then gets married and goes with that same idea that as long as one learns Torah and serves God, God will take care of the needs of his family. So in essence, trust in God is at the very centre of the Learning Torah idea.
On a large scale this is not in practice. but on the individual scale it is. one can still trust and God and God does take care of one.