As @jarmanso7 points out, you can always replace an を (or a が) with a も.
I think part of the confusion might be that the も-less example the OP offers/is familiar with doesn't have an を. しょくじをします and しょくじします are both possible, and are closely related, though there are many who would consider the latter to be a sort of verb in its own right, whereas the former is "doing" a meal. Perhaps like "Partaking of a meal", vs "dining". If this perspective is comfortable for you, then I'd suggest that the も is replacing the を of the former, making it akin to "Partaking also in meals" (or "also takes meals there").
The suggestion that も is "inserted" between noun and verb is a little problematic, because normally you don't have a noun and a verb in the same sentence without some sort of particle after the noun. In casual situations of course, particles are often dropped, but technically this wouldn't be quite grammatical I believe. する-verb nouns are the notable exceptions (so is a noun with the copula です, but you could argue that です isn't 100% a verb in function, even if it is one grammatically), because there the noun+する combination may be considered a complete verb (but is kind of a gray area of sorts).
And of course, in those casual instances I mentioned where a particle might be dropped (さかなたべる？) if you wanted to use a も, you would just slip it in "between the noun and the verb" (or to be more accurate: after the noun, regardless of what else might be between the noun and the verb).