You don't "fit" physical cartridges into an R4 card. An R4 is a flashcart—a device that reads game files (ROMs) from a microSD card inserted into the R4, which then plugs into your Nintendo DS/DS Lite/DSi slot-1.
.nds game files onto the microSD via a computer.Depends on microSD capacity and average game size (16MB–256MB, most ~64MB):
For legitimate play, use original cartridges or purchase digital titles via Nintendo eShop (3DS family only; DS eShop closed in 2023).