Advantest R3132 Service Manual. How do you connect your DS lite to the internet they don't natively do that? If you have the NDS web browser card you have no way to save anything to the r4 as neither the DS Lite or the NDS web browser have the ability to save data. The game save function and program routine is part of the game cartridge the r4 operating system does not have that instruction set. Even if it could or I have misunderstood and you are actually referring to do this with a DSi R4s are updated by replacing the operating system which comes in a zipped file. Nothing that Nintendo has put out to date can unpack a zipped file.

Learning is my first love. Please teach me how to do this.

Well, the latest upgrades of the DSi have locked the access to older cards and firmwares, for obvious reasons. I won't get in detail, but only a few people are honest enough to use the flashcards to play titles they already own, or to keep playing the old GBA titles he used to have. Thus, with almost every single update Nintendo tweaks the firmware codes that bit that's needed to prevent the flashcart to run. Some flashcarts, like the Supercard or newer, simply shell out new firmwares to counter every Nintendo firmware. Giants Editor 4.1.9 on this page. Some other cart can be updated only with firmwares compatible with older revisions of the Nintendo Devices. You may recognize a newer flashcard because it has special markings on the sticker, such as a golden 'V1.43' or similar stuff, save for the DSTWO Supercard who lacks similar markings. However, I suggest you next time to open a new question to get a swift reply, since this one is already years old.