Coding in Markdown

I have a project where I need to convert an 18 page word doc (docx) to Markdown (md) for a CMS site. I was hoping I could just copy the word doc and paste into dreamweaver and have it convert to md like it does for HTML. Alas it does not. Was then hoping that after DW converted it to HTML, I could then convert the HTML to md....that didn't work either or at least I couldn't figure it out. Anyone have any ideas of how to get a large docx file converted to md?? If it wasnt 18 pages of content, I could just hand code it. Its also some private info, so I cant use an online converter for privacy issues.

Any thoughts would be helpful.