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.
Another shot at it with a thought experiment. Everybody goes to the bank and borrows 10k every month. The bank never asks them back for the first five years. Result? Inflation, possibly hyperinflation. Same as if they would be printing money (and they'll won't get anything back when the five years are past.)
Edit to further elucidate: It isn't exactly the loan that creates money, but what happens with the money after the loan. It will almost certainly land in a bank account somewhere, adding to that bank's reserves, which allows them to lend 90% of the loan's value again. (assuming a 10% capital reserve requirement)