Process adverbs are provided in this article. The words listed here are commonly found along with the verb process in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb PROCESS.
actively, actually
automatically, effectively
efficiently, fully
mentally, properly
quickly
Hope this word list had the process adverb you were looking for. In addition to adverbs used with process, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.