Modulo question about equality True or false?
$$24 \equiv 77 \mod 16 $$
$1.$ $77/16 = 4.8125 $
$2.$ $4.8125 - 4 = .8125$
$3.$ $0.8125 \times 16 = 13$
$4.$ $24 != 13$
So the answer is false? Am I right?

A simpler approach: $a\equiv b\pmod{n}$ if and only if $n$ divides $(b-a)$.
In this problem, $77-24=53$, which is not a multiple of $16$ ($53/16=3.3125$), so $77\not \equiv 24\pmod{16}$.
