My printer is a v313w. I've had many problems with the printer head right from the beginning but I learned a way around the problem and don't even think about it anymore. But something changed when I had to replace my hard drive and I think a file is being blocked somehow, a file that's used by the printer to communicate with the computer. At least that's what I THINK is going on. It is wireless capable, but it's hard-wired for my computer. I can't scan items anymore, although copying and printing are fine.
Do you see your PC in a list of available PC's when you begin the scan process? If you've defined a PIN number for your PC you may have to provide that as well.
If not, this sounds similar to my issue - the name list becomes corrupted and I have to reset the printer to factor defaults. Mine is used as a network printer, but it will not connect directly to the router. To reconnect it I have to hardwire the printer and reinstall the software to regain access.
Here's the Manual for your printer (not sure if you have it or not) - Dell V310 User Guide
Page 85 contains a troubleshooting section and page 21 describes resetting the printer to factory defaults.
The firmware downloads you've mentioned are for WiFi. If you're not scanning over a network you probably don't need those. Do download and install the latest drivers.