When he is seated on his royal throne, he shall have a copy of this Teaching written for him on a scroll by the levitical priests.
(Deut. 17:18, JPS Torah)
Jesus entered his kingdom and sat upon his throne when he was raised from the dead and entered into heaven. Revelation mentions Jesus taking a scroll. There is a wide variety of interpretation as to the time he takes/took the scroll. We have no scripture telling when Jesus received the Torah scroll, but it may well have been Aaron or Moses giving it to him as fulfilling the Law when he entered into heaven and sat at the right hand of the Father.
Jesus told Pilate his kingdom wasn't here (βασιλεία ἡ ἐμὴ⸃ οὐκ ἔστιν ἐντεῦθεν, John 18:36, NA28)
ἐντεῦθεν adv.—1. of place ... ἡ βασιλεία ἡ ἐμὴ οὐκ ἔστιν ἐ. my kingdom is not from here=ἐκ. τ. κόσμου τούτου J 18:36.
Arndt, W., Gingrich, F. W., Danker, F. W., & Bauer, W. (1979). A Greek-English lexicon of the New Testament and other early Christian literature : a translation and adaption of the fourth revised and augmented edition of Walter Bauer’s Griechisch-deutsches Worterbuch zu den Schrift en des Neuen Testaments und der ubrigen urchristlichen Literatur (p. 268). Chicago: University of Chicago Press.
33 So Pilate entered his headquarters again and called Jesus and said to him, “Are you the King of the Jews?” 34 Jesus answered, “Do you say this of your own accord, or did others say it to you about me?” 35 Pilate answered, “Am I a Jew? Your own nation and the chief priests have delivered you over to me. What have you done?” 36 Jesus answered, “My kingdom is not of this world. If my kingdom were of this world, my servants would have been fighting, that I might not be delivered over to the Jews. But my kingdom is not from the world.” 37 Then Pilate said to him, “So you are a king?” Jesus answered, “You say that I am a king. For this purpose I was born and for this purpose I have come into the world—to bear witness to the truth. Everyone who is of the truth listens to my voice.” 38 Pilate said to him, “What is truth?”
And he said to her, “What do you want?” She said to him, “Say that these two sons of mine are to sit, one at your right hand and one at your left, in your kingdom.” 22 Jesus answered, “You do not know what you are asking. Are you able to drink the cup that I am to drink?” They said to him, “We are able.” 23 He said to them, “You will drink my cup, but to sit at my right hand and at my left is not mine to grant, but it is for those for whom it has been prepared by my Father.”
(Matt. 20:21–23, ESV)
The two crucified on either side (here and here, ἐντεῦθεν καὶ ἐντεῦθεν) are the ones on Jesus' right and left when he entered his kingdom.
There they crucified him, and with him two others, one on either side, and Jesus between them. 19 Pilate also wrote an inscription and put it on the cross. It read, “Jesus of Nazareth, the King of the Jews.”
(John 19:18–19, ESV)
References to Jesus sitting on his throne:
I adjure you by the living God, tell us if you are the Christ, the Son of God.” 64 Jesus said to him, “You have said so. But I tell you, from now on you will see the Son of Man seated at the right hand of Power and coming on the clouds of heaven.”
(Matt 26:63–64, ESV)
Being therefore exalted at the right hand of God, and having received from the Father the promise of the Holy Spirit, he has poured out this that you yourselves are seeing and hearing
(Acts 2:33, ESV)
The God of our fathers raised Jesus, whom you killed by hanging him on a tree. 31 God exalted him at his right hand as Leader and Savior, to give repentance to Israel and forgiveness of sins. 32 And we are witnesses to these things, and so is the Holy Spirit, whom God has given to those who obey him.”
(Acts 5:30–32, ESV)
and what is the immeasurable greatness of his power toward us who believe, according to the working of his great might 20 that he worked in Christ when he raised him from the dead and seated him at his right hand in the heavenly places, 21 far above all rule and authority and power and dominion, and above every name that is named, not only in this age but also in the one to come. 22 And he put all things under his feet and gave him as head over all things to the church, 23 which is his body, the fullness of him who fills all in all.
(Eph. 1:19–23, ESV)
If then you have been raised with Christ, seek the things that are above, where Christ is, seated at the right hand of God.
(Col 3:1, ESV)
He is the radiance of the glory of God and the exact imprint of his nature, and he upholds the universe by the word of his power. After making purification for sins, he sat down at the right hand of the Majesty on high
(Heb. 1:3, ESV)
looking to Jesus, the founder and perfecter of our faith, who for the joy that was set before him endured the cross, despising the shame, and is seated at the right hand of the throne of God.
Reference to Jesus taking the scroll.
And one of the elders said to me, “Weep no more; behold, the Lion of the tribe of Judah, the Root of David, has conquered, so that he can open the scroll and its seven seals.”
6 And between the throne and the four living creatures and among the elders I saw a Lamb standing, as though it had been slain, with seven horns and with seven eyes, which are the seven spirits of God sent out into all the earth. 7 And he went and took the scroll from the right hand of him who was seated on the throne.
(Rev. 5:5–7, ESV)