Modulo Operation/Examples/0.11 mod 0.1/Proof 1

Proof
By definition of modulo operation:
 * $x \bmod y := x - y \left \lfloor {\dfrac x y}\right \rfloor$

for $y \ne 0$.

We have:

and so:
 * $\left\lfloor{\dfrac {0 \cdotp 11} {0 \cdotp 1} }\right\rfloor = 1$

Thus: