Users accidently delete files

One of the most painful problems I’ve in my network is that users accidently delete files from the server, I tried denying the delete files access in ACL but this also made all the programs unable to save files, is there a way (or a program)that disable file deletion in windows explorer, or adds a higher security level before deleing a file, yet at the same time allows new files to created and allows old files to be modified (but not deleted)