The supported system versions for the Power Macintosh 6100/60 can be found in the following document:
http://support.apple.com/kb/sp312
The System 7.5.3 mentioned by Don (US version):
http://download.info.apple.com/Apple_Support_Area/Apple_Software_Updates/English -North_American/Macintosh/System/Older_System/System_7.5_Version_7.5.3/
The download consists of nineteen files. These files are segments of a large disk image. The idea is to transfer/copy the segments to a hard disk (with the files "as is" in MacBinary = .bin format). Once on the destination hard disk, an appropriate version of StuffIt Expander can be used to decode the .bin files (resulting in one .smi and eighteen .part). The decoded files are supposed to be gathered in one single folder. Upon double-clicking the first file (the .smi), the total disk image will mount. The installer is in the mounted disk image.
Please note that System 7.5.3 requires HFS (Standard) hard disk drive formatting, not HFS+ (Extended).
If necessary, the nineteen downloaded .bin files are small enough to be copied onto 1.44 MB floppies. However, please note that such a set of floppies would not be bootable. A separate startup disk is used (such as the Network Access Disk 7.5):
http://download.info.apple.com/Apple_Support_Area/Apple_Software_Updates/English -North_American/Macintosh/Utilities/
With a working 6100/60, you could easily make a properly sector-copied floppy from the Network Access Disk 7.5 download. Decode (StuffIt Expander) and decompress the file on the 6100/60. Download Disk Copy 4.2:
http://download.info.apple.com/Apple_Support_Area/Apple_Software_Updates/English -North_American/Macintosh/Utilities/Disk_Copy/
Decode/decompress. Load the NAD 7.5 disk image. Create the floppy via the Make A Copy button.
If downloads are carried out on a Windows PC, PC-formatted floppies can be used if the Mac operating system has the files required for reading PC disks. Otherwise, it is possible to use a special PC utility for the handling of Mac-formatted floppy disks (for example, TransMac).
In principle, one could also transfer files to the 6100/60 on a CD-R (in a suitable format; burn at a low speed), providing that the existing Mac operating system has the necessary files for CD-ROM.
Jan