Is there an application for teamwork on a shared document?

Question

Document flow

A team of 5 people is working on one document, in other words, a report.
Each person in the team is engaged in his own direction and, accordingly, replenishes his part of the document. Then everyone, making their own piece in parallel, throws it off to the guy who puts it all together.
How the work is being built now: there is a shared folder, as soon as they are ready, all parts of the document are thrown into it. Further, all files are collected from the folder and stitched into one. Additionally, the text of the document is being finalized.
Problems:
the process of creating parts by employees is not visible,
you cannot promptly ask for something to be added, only after the completion of work on the selected part.
Are there any tools that allow you to more effectively organize team work on documents, rather than projects?

Answer 1

Google Drive allows simultaneous work with Google Docs file