Bitcoin is represented as a digital ledger. It does not "split" like you are thinking. It is divisible. One Bitcoin can be divided into 100 million smaller pieces called satoshis. Therefore, if I had 1BTC and sent someone half of it, I am sending them 50 million satoshis. Ultimately, it is still just digits on a digital ledger. There is nothing physical about it, so there is neither "splitting" nor "joining".
That makes sense, thanks for clearing that up! So basically, instead of thinking of it like breaking a coin in half, it's more like just moving numbers around on a digital record.
But when you make multiple small transactions over time, does that clutter your wallet with too many inputs, or does it affect the transaction fees later on? Just trying to understand how it all adds up in the background.