grandparem offers great advice, don't remove the sear spring cup, the large slotted screw on the bottom of the receiver. It's not necessary and can cause great harm if you do.
Remington recommends just removing the receiver plug ("beehive") and it's associated springs, sliding the bolt out of the receiver and removing it's firing pin. Very simple job.
Then flush the action out with gunscrubber or brake/carb cleaner, and blow out with compressed air. Then remove the inner mag tube and the "takedown screw bushing" (the part that the stock screw screws into). Ensure that the carrier/cartridge stop assembly ( the parts that extend out under the receiver and is spring loaded) is up (extended as far as it will go out of the receiver) then lightly tap the outer mag tube and the receiver insert (the part that the outer mag tube goes into) about 1/2 inch back into the receiver. This lets you pry the "floating chamber" recoiling chamber out of it's recess in the barrel. If it's difficult to move just soak it with powder solvent and tap lightly with a drift and pry it out.
Again flush the chamber recess and the action with gunscrubber and clean the floating chamber, bolt, fireing pin and springs. Use a pipe cleaner available at any smokers shop to clean the hole in the bolt that the fireing pin shaft goes into. (I like the ones with inbedded twisted wires)
Scrub the inside of the receiver with an assortment of brushes, flush and blow out again. Ok, this is optional and many folks don't agree with it. But when I'm through with the above, I again wash out the action with hot soapy water then flush with clear very hot water and then another blow out with compressed air while still HOT. Believe me, it's clean then. Spray with Remoil and reassemble.
Easy all the way, and fun to do...
After thoughts: Loosing the screw on the receiver plug retainer (little door on the back of the receiver) makes it easier to unscrew the plug. Then remove it completely before cleaning the action. You will have to pull the trigger to drop the sear when you replace the bolt. Don't forget to replace the floating chamber and the firing pin. I replace the bolt with the receiver pointed down so the firing pin won't back out during reassembly. Ensure the bushing on the larger spring goes into the cavity on the bolt. Spray the plungers on the trigger assembly and the receiver insert (if so equipped, some were not) with RemOil and work back and forth to ensure any water is forced out of those areas. (I do this when I am blowing out with compressed air for the final time). Both have easy access.
More after thoughts: If the sear spring cup has been messed with and is not screwed down flush with the receiver PM me . And as I'm sure you know, ensure the rifle is unloaded before you do anything.