Any model of Langdon, Acme or All Steel from the 1950’s onward will come apart as described on this page with little variation, if any.
Some of the Goodell-Pratt “All Steel” miter boxes from the 1920’s and 1930’s are very similar in construction as well. The Goodell-Pratt hardware design seems to have been adopted by Millers Falls upon acquiring that company.
Before beginning you will want to study and perhaps print out the parts diagram.
Taking one of these boxes apart is not difficult but there are a few bits are not intuitive. As long as you exercise reasonable care and gentle persuasion even a rust-encrusted miter box may be easily disassembled.
Of course reassembly is primarily a matter of retracing one’s steps backwards. However, merely putting it all back together does not necessarily result in a miter box that will cut accurately. You shall have to fettle this tool before you start using it.