Total ordering and relations set theory problem?

Orderings and relations - set theory?
Find counter-examples to prove that none of the relations of
divisibility on Z,
equality on S,
containment on P(S) (power set)
is a total ordering

any ideas?
Update: sorry, given set S,
s,t are an element of S
define s is related to t if s = t
Update 2: for P(S)
given A,B are elements of P(S),
A is related to B if A is a proper subset of B
2 answers 2