Why would anyone want the seamless garment that Jesus wore? Presumably it was blood-stained. I suppose someone could have washed it and dyed it and it would have been quite serviceable. They could have worn another garment over the top. Garments such as this must have been quite valuable in those days.
(Mark 15:24) When they had crucified him, they parted his garments, casting lots upon them, what every man should take.
(John 19:23,24) Then the soldiers, when they had crucified Jesus, took his garments, and made four parts, to every soldier a part; and also his coat: now the coat was without seam, woven from the top throughout. They said therefore among themselves, Let us not rend it, but cast lots for it, whose it shall be: that the scripture might be fulfilled, which saith, They parted my raiment among them, and for my vesture they did cast lots. These things therefore the soldiers did.
Why would they cast lots for Jesus' garments if they were blood-stained? Some claim that Jesus' scourging was very mild and didn't cause bleeding.
(Luke 23:26) And as they led him away, they laid hold upon one Simon, a Cyrenian, coming out of the country, and on him they laid the cross, that he might bear it after Jesus.
Why would they force Simon to carry the cross? Presumably it is because they were afraid that Jesus would die before reaching the place of crucifixion or because he simply couldn't walk while bearing the weight of the cross.
(John 19:5) Then came Jesus forth, wearing the crown of thorns, and the purple robe. And Pilate saith unto them, Behold the man!
After Jesus was scourged and beaten-up, Pilate paraded him before the people. Jesus had enough strength to stand up.
(John 19:33) But when they came to Jesus, and saw that he was dead already, they brake not his legs.
Jesus did not live as long as his executioners expected him to and he died before the other two men who were crucified with him. This implies that his scourging was rather severe.
Jesus was likely in good physical condition before his crucifixion. He walked a lot and he was still a young man.
The answers to these problems and questions come from the Old Testament.
(Isaiah 53:5) 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.
Jesus had stripes from his scourging so, yes, the scourging was severe and the seamless garment had blood on it.
(Isaiah 52:14) As many were astonied at thee; his visage was so marred more than any man, and his form more than the sons of men.
Jesus was severely scourged and beaten.
(Isaiah 50:6) I gave my back to the smiters, and my cheeks to them that plucked off the hair: I hid not my face from shame and spitting.
Jesus was scourged badly and his beard was pulled out.