The process of Jesus transitioning from the early days of his ministry beginning with his baptism and the gift of God's spirit, to his final breath, was an ever increasing burden of suffering, learning and humbling. This was necessary to prove him as Saviour, for he was not yet 'completed' when he began.
Although he was a son, he learned obedience through what he suffered. Heb 5:8
And being recognized as truly human, he humbled himself and even stooped to die; yes, to die on a cross. Phil 2:8
For it was fitting for Him (God), for whom are all things, and through whom are all things, in bringing many sons to glory, to perfect the author of their salvation through sufferings. Heb 2:10
Luke 2:52 And Jesus increased in wisdom and stature, and in favour with God and man.
Yes, Jesus increased in stature, with God to guide him he was made ready only by his humble obedience and willingness to suffer, that he might be tested in all things.
For we do not have a high priest who cannot sympathize with our weaknesses, but one who has been tempted in all things as we are, yet without sin. Heb 4:15
The ultimate man in God's view is one who is upright, bold and forthright, righteous and wise - yet also humble and aware of his place under God. Jesus grew to be this man - he could stand tall without needing to stoop in feigned subservience. While his will often differed from God's will for him, he always submitted his will to align with God's - we know some occasions were particularly testing! So testing, that he feared for his life - to submit to temptation would disqualify him as Saviour and his promised eternal life waiting after his righteous death.
During the days of Jesus’ earthly life, he offered up prayers and petitions with loud cries and tears to the One who could save him from death, and he was heard because of his reverence. Heb 5:7
Without this proving and Jesus passing the grade, he could not be the Saviour that God needed. A man, willing to forsake everything of this world, even himself to God's bidding, and together, they could defeat evil in a way that the 1st Adam had failed. This is not a defeat of Jesus' power over evil, but God's IN him by faith and complete trust. This trust was earned - his stature and approval increased with God until he was ready to endure the final task without choosing his own will over God's.
I could leave this next bit out, but as the OP requests,
Does this make a problem with the divinity of Jesus the Christ?
If Jesus was God, or divine (as in being God) then the whole temptation and learning and obedience was a complete sham and a charade. This is not how God chose to defeat evil, but by preparing His son to do the task as the second Adam - a human as Adam was , as we all are.
For this reason he had to be made like his brothers in every way, so that He might become a merciful and faithful high priest in service to God, in order to make atonement for the sins of the people. Heb 2:17
Being a God/man is not like us at all. So there is no problem with Jesus' divinity in his matter, for apart from being without sin and holy, he had none.
We too will share in the divine - as Jesus also did.
Through these he has given us his very great and precious promises, so that through them you may participate in the divine nature, having escaped the corruption in the world caused by evil desires. 2Pet 1:4
In the few verses shown, Hebrews is filled with explaining this office Jesus fills as High Priest. The closing verses of Ch7
For it was fitting for us to have such a high priest, holy, innocent, undefiled, separated from sinners, and exalted above the heavens v26
... a son, who has been made perfect forever. v28
A son who was required to experience the depths of humanity's shame and suffering - who was innocent the whole time, is made perfect and exalted above the heavens. None of this speaks of a God/man, but a man only who served his God, and our God, with his whole life for all of us.
This exalted man at God's right side is the man who intercedes for all creation.
For there is one God, and there is one mediator between God and men, the man Christ Jesus 1Tm 2:5
No wonder God expressed His delight in His unique and devoted human son,
And a voice from heaven said, “This is my Son, whom I love; with him I am well pleased.” Matt 3:17