This is known as the money multiplier effect.
It's perhaps better put like this:
You store a dollar in the bank.
The bank makes a loan to a business to buy cars.
The car company stores that dollar in another bank.
The bank makes a loan with that dollar to a farmer to buy sheep from another farmer.
That farmer who sold the sheep puts that dollar in the bank.
That one dollar was used in three different transactions, thus creating more US Dollars than were actually printed.
And on and on it goes.
Edited to add:
That's why runs on banks are so dangerous, because the bank never has the full amount of money in it's safe. It's using that money to make loans.