You can do the calculation in your head, when the quote currency matches your account currency
(USD, in your example).
One pip is 1/10000 of one unit of the quote currency in the pair you are trading.
In the EUR/USD pair, or any pair in which the USD is the quote currency –
One pip is $0.0001 per unit
or $0.10 per micro-lot (1,000 units)
or $1.00 per mini-lot (10,000 units)
or $10.00 per standard lot (100,000 units)
In similar fashion, if you were trading USD/CAD in an account denominated in CAD (Canadian dollars),
One pip would be CA$0.0001 per unit
or CA$0.10 per micro-lot (1,000 units)
etc.
The only time you have to do calculations, either on paper or using the Pip Value Calculator, is when the quote currency in the pair you are trading DOES NOT match your account currency. For example, trading USD/CAD in your USD account.
In your example, the current price of EUR/USD does not enter into the calculation, at all, because the quote currency matches your account currency.
By the way, you will never see a price like EUR/USD = 112.30 — Not in this lifetime