1
general::
Involve oneself or intervene, as in He knew he'd be able to step into a job in his father's firm, or Jane asked Mary to step into the matter and settle it. Also see STEP IN.
American Heritage Idioms
2
general::
Phrase(s): step into something 1. Lit. [and] step in something
to step into something wet, messy, or dirty. • Don’t step in the mud! • What is that stinky stuff you stepped into? 2. Fig. to involve oneself in some matter; to intervene in an affair or dispute. • I will have to step into the business and settle the problem. • Please don’t step into something that does not concern you.
McGrawhill's American Idioms And Phrasal Verbs