Imagine filling a box with apples. The box can hold 100 apples. Now try filling it with apples that are half the size - you can get 200 of them in there. Now imagine a special magic apple that takes up no room at all. How many can you put in the box?
Many people think that numbers that are divided by 0 are 'infinite' but that's not correct; strictly speaking, such numbers should be referred to as 'undefined'.
That's why the calculator said what it did - and it was right.
it is said that numbers can't lie. If so, then explain this!
Three guys decide to go fishing well away from home. They arrive at the venue and book in at a motel. At reception they find they can only have a room with three single beds, which they accept. The receptionist says it will be £10 each and this is paid over. The bell-boy takes their luggage up to the room and the guys follow.
On returning downstairs the receptionist then says to the bell-boy that, as it is now out-of-season, the guys have been overcharged and, taking out five pound coins tells the bell-hop to share them equally with the three guys. On his way upstairs he knows he can't share the coins equally, so he pockets two and gives the three men one each.
So each man has paid nine pounds for the room, which is £27, the bell-hop has taken two, which makes it £29, so where has that other pound gone? ;o) TC.
GroupFC's explanation is still a penny out, which is not good arithmetic.
Truth is, of course, there is no sensible reason the £2 tip should be added to the £27, it is already part of that money and taking it away from £27 leaves the £25 downstairs.
On a higher level I don't like the answers to the 'infinity' problem. To Diesse I'd ask "Isn't a number itself a mathematical concept?". To FE I'd ask how an apple, even a magic one, can stay as an apple when it reaches zero volume?
In truth, when calculations appear to produce division by zero, one has to step back an infinitessimal distance to see how the answer approaches infinity. There is a duality here with its reciprocal where a quantity approaches zero. It is at the core of infinitessimal calculus.