Hold the bolt in your left hand, press the bolt sleeve lock in with thumb of right hand to unlock bolt sleeve from bolt, unscrew bolt sleeve by turning it left, you may have to pull back on the cocking piece while turning the bolt sleeve in order to completely unscrew the assemblies.
At this point you should set aside the bolt and can disassemble the firing pin mechanism, the firing pin itself has two parts, the pointed part that strikes the primer and a sleeve that locks the striker to the firing pin rod. Carefully pull at the base of the striker to separate the two parts, continue pulling (carefully as the spring is stiff) until the striker is exposed and you can remove it from the firing pin rod. Slide the sleeve off and remove the mainspring. Once the mainspring has been removed you can slide the firing pin rod out of the bolt sleeve.
To remove the extractor, force its tongue out of its groove by turning it counter clockwise (as viewed from the bolt face) and then simply slide it off the front of the bolt.
Hope this helps, it was paraphrased using my experience and the official US Army maintenance manual.
depending on condition a Smith Corona 1903-A3 should bring from $700 to $850
Let a gunsmith do it.
try: e-gun.com
Best left to a gunsmith
5x112
Best left to a gunsmith
Highly recommend you ask a gunsmith for assistance.
1928
It's a very well done job, nice bluing with a slightly swept back bolt ... 30-06 Remington 1903-A3 Sporter has a 23” blued tapered round barrel with a very good bore. ... Mint condition grey parkerized finish and new made Criterion ... the I have acquired a 1903 springfield that i need help putting a value on.
Best left to a gunsmith.
Leave this to a qualified gunsmith, trust me on this.
Take it to a gunsmith.