I do love this question, I have answered it a couple of times on here but I would love to share my answer again, thanks for asking.
Great question, I see Jesus Christ so plainly in this chapter. This is a prophecy of Jesus Christ.
Isaiah 53:1 Who hath believed our report? and to whom is the arm of the LORD revealed?
" And to whom is the arm of the Lord revealed "? Jesus is called the arm of the Lord in other places in the Bible too, we know that Jesus sits at the right hand of God ( Mark 16:19;Luke 22:69; Rom.8:34 ) We can see in the New Testament when this verse was fulfilled:
John 12:37 But though he had done so many miracles before them, yet they believed not on him:
38 That the saying of Esaias the prophet might be fulfilled, which he spake, Lord, who hath believed our report? and to whom hath the arm of the Lord been revealed?
Isaiah 53:2 For he shall grow up before him as a tender plant, and as a root out of a dry ground: he hath no form nor comeliness; and when we shall see him, there is no beauty that we should desire him.
3 He is despised and rejected of men; a man of sorrows, and acquainted with grief: and we hid as it were our faces from him; he was despised, and we esteemed him not.
We see how it says the " He ( Jesus ) shall grow up before Him ( The Father ) as a tender plant, and as a root out of dry ground: " The words " grow up " shows that the Lord would be born, and from a child grow before the Lord. These other verses describe so much about Jesus, His heart, the things that He endured, how He was treated by people.
Isaiah 53:4 Surely he hath borne our griefs, and carried our sorrows: yet we did esteem him stricken, smitten of God, and afflicted.
5 But he was wounded for our transgressions, he was bruised for our iniquities: the chastisement of our peace was upon him; and with his stripes we are healed.
6 All we like sheep have gone astray; we have turned every one to his own way; and the LORD hath laid on him the iniquity of us all.
We see the purpose of Christ coming, it was to pay the debt for our sins, He bore our griefs, and carried our sorrows. How much Jesus loves us! He took our place, the punishment that we deserve He took on Himself, He suffered for us, so that we could go free.
1 Peter 2:24 Who his own self bare our sins in his own body on the tree, that we, being dead to sins, should live unto righteousness: by whose stripes ye were healed.
25 For ye were as sheep going astray; but are now returned unto the Shepherd and Bishop of your souls.
Isaiah 53:7 He was oppressed, and he was afflicted, yet he opened not his mouth: he is brought as a lamb to the slaughter, and as a sheep before her shearers is dumb, so he openeth not his mouth.
This shows how Jesus would be brought to be put to death, and even though He was oppressed and afflicted He didn't speak, so much so that Pilate marveled.
Mark 15:3 And the chief priests accused him of many things: but he answered nothing.
4 And Pilate asked him again, saying, Answerest thou nothing? behold how many things they witness against thee.
5 But Jesus yet answered nothing; so that Pilate marvelled.
We can also see from Acts that this scripture is speaking of Jesus:
Acts 8:30 And Philip ran thither to him, and heard him read the prophet Esaias, and said, Understandest thou what thou readest?
31 And he said, How can I, except some man should guide me? And he desired Philip that he would come up and sit with him.
32 The place of the scripture which he read was this, He was led as a sheep to the slaughter; and like a lamb dumb before his shearer, so opened he not his mouth:
33 In his humiliation his judgment was taken away: and who shall declare his generation? for his life is taken from the earth.
34 And the eunuch answered Philip, and said, I pray thee, of whom speaketh the prophet this? of himself, or of some other man?
35 Then Philip opened his mouth, and began at the same scripture, and preached unto him Jesus.
Isaiah 53:8 He was taken from prison and from judgment: and who shall declare his generation? for he was cut off out of the land of the living: for the transgression of my people was he stricken.
9 And he made his grave with the wicked, and with the rich in his death; because he had done no violence, neither was any deceit in his mouth.
This shows that Jesus would die, " for He was cut off out of the land of the living: " and it was us that He died. By saying, " He made His grave with the wicked, " it was speaking of how He was crucified with the wicked, ( the criminals who had done wrong ) " and with the rich in His death " it was speaking of the tomb that Jesus was laid in. After the Lord's death a rich man that believed in Jesus gave the tomb that he had carved out.
Matthew 27:57 When the even was come, there came a rich man of Arimathaea, named Joseph, who also himself was Jesus' disciple:
58 He went to Pilate, and begged the body of Jesus. Then Pilate commanded the body to be delivered.
59 And when Joseph had taken the body, he wrapped it in a clean linen cloth,
60 And laid it in his own new tomb, which he had hewn out in the rock: and he rolled a great stone to the door of the sepulchre, and departed.
That ninth verse not only shows how Jesus was killed among the wicked, and how He was buried in a rich man's tomb, but also that Jesus had done no wrong, or anything worthy of death, " because he had done no violence, neither was any deceit in his mouth. " Jesus was and is perfect, without sin.
Isaiah 53:10 Yet it pleased the LORD to bruise him; he hath put him to grief: when thou shalt make his soul an offering for sin, he shall see his seed, he shall prolong his days, and the pleasure of the LORD shall prosper in his hand.
We see that it was God's plan for Christ to die for us, it was because God loves us so much and He desires for us to be with Him. In this verse it says, " when thou shalt make his soul an offering for sin, he shall see his seed, he shall prolong his days, and the pleasure of the LORD shall prosper in his hand. " by saying, " He shall see " and " He shall prolong His days " we see about the resurrection of Jesus, He was not left dead, but God raised Him up from the dead. If someone died their days could not be prolonged unless they were alive again, and by prolonged that doesn't mean for a short time, Jesus lives for ever!
" And the pleasure of the Lord shall prosper in His hand " It speaks to me how Jesus Christ reigns, the authority that Christ has.
Matthew 28:18 And Jesus came and spake unto them, saying, All power is given unto me in heaven and in earth.
Isaiah 53:11 He shall see of the travail of his soul, and shall be satisfied: by his knowledge shall my righteous servant justify many; for he shall bear their iniquities.
12 Therefore will I divide him a portion with the great, and he shall divide the spoil with the strong; because he hath poured out his soul unto death: and he was numbered with the transgressors; and he bare the sin of many, and made intercession for the transgressors.
Jesus made an offering for our sin, He laid down His own life for us, so that we could have eternal life. This is the only sacrifice for sin that God accepts, nothing else can take our sins away, only the blood of Jesus.
Hebrews 9: 28 So Christ was once offered to bear the sins of many; and unto them that look for him shall he appear the second time without sin unto salvation.
In the twelfth verse I see more of how the Lord Jesus Christ reigns:
Philippians 2:8 And being found in fashion as a man, he humbled himself, and became obedient unto death, even the death of the cross.
9 Wherefore God also hath highly exalted him, and given him a name which is above every name:
10 That at the name of Jesus every knee should bow, of things in heaven, and things in earth, and things under the earth;
11 And that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father.
Thank you for asking this question, it has been a blessing to me.
There is still so much more that could be said about this, this is one of my favorite chapters in the Bible.
with all sincerity in Christ,