Jesus was indeed subject unto the Father and obeyed Him as a human.
"Who in the days of his flesh, when he had offered up prayers and supplications with strong crying and tears unto him that was able to save him from death, and was heard in that he feared; Though he were a Son, yet learned he obedience by the things which he suffered; And being made perfect, he became the author of eternal salvation unto all them that obey him; Called of God an high priest after the order of Melchisedec." (Hebrews 5:7-10)
"For I came down from heaven, not to do mine own will, but the will of him that sent me." (John 6:38)
""Who gave himself for our sins, that he might deliver us from this present evil world, according to the will of God and our Father" (Galatians 1:4)
Though I'm sure Jesus is fully God, there's something about the Trinity (I know that word's not in the Bible- Godhead if you will) wherein Jesus is subject to the Father even now. Consider:
"Then cometh the end, when he shall have delivered up the kingdom to God, even the Father; when he shall have put down all rule and all authority and power. For he must reign, till he hath put all enemies under his feet. The last enemy that shall be destroyed is death. For he hath put all things under his feet. But when he saith all things are put under him, it is manifest that he is excepted, which did put all things under him. And when all things shall be subdued unto him, then shall the Son also himself be subject unto him that put all things under him, that God may be all in all." (1 Corinthians 15:24-28)
I can't explain it further, but that's scripture. May the Lord bless your meditation and understanding on this topic.