I think the word translated here as "study" means more, "be quick, be diligent", like that, than to actually do a study of the Book. Of course we do study the Book. But in looking at the Greek that's what is written.Paul's written verse which you quoted does not say that a person will receive the truth by study. He said to study to get God's approval, which means to obey and study. A man may receive truth in his Bible studies, but only if he is led to truth by the Holy Ghost. That is rightly dividing!
Actually, it's using exegesis that teaches me that "study" is not the best translation, at least in our generation.
Be diligent, be quick about it, to present yourself 'tested and approved' to God, a worker not ashamed, but correctly dividing the Word of Truth.
I believe that we allow the Holy Spirit to teach us. This is what He is, I think, teaches me, in the words He used to write this passage, English notwithstanding.
Much love!