Modulo operations over Gaussian Integers Given $a,b\in\Bbb Z[i]$, is there a definition and calculation of remainder $a\bmod b$? Could you provide examples say $35\bmod (2+3i)$, $(43+7i) \bmod (22+8i)$?

$${35\over2+3i}={35(2-3i)\over13}={70-105i\over13}=5-9i+{5+12i\over13}$$ so $$35=(5-9i)(2+3i)+{(2+3i)(5+12i)\over13}=(5-9i)(2+3i)+{-26+39i\over13}=(5-9i)(2+3i)+(-2+3i)$$
