On the homepage you will see a guide Kies Air download, that’s the full version. Their is also a mini version which you can use for updating purposes, this version is the so called Kies Mini. Kies mini is supported by Windows, hopefully Mac is on their way.
There is also a handy document released by Samsung, you can download it here: upgrading for Kies Mini.
It’s important to know that Kies mini is supported bij less mobile phones that the full version of kies. You can easily connect your phone with an usb cable with your computer, so that kies mini can update your phone. Make sure you don’t disconnect while processing. Sometimes the phone will switch of, but after you put it back on, you are all set. Also make sure that anti virus programs while installing Kies are switched off, because these programs may interrupt the download process.
You need a USB data cable and you must make sure that you remove alle the previous installed software from Samsung Kies or drivers from Samsung and restart your PC. And make sure your mobile is fully charged while updating.