For comparison, Nemo gives an error.
$ julia
_
_ _ _(_)_ | A fresh approach to technical computing
(_) | (_) (_) | Documentation: https://docs.julialang.org
_ _ _| |_ __ _ | Type "?help" for help.
| | | | | | |/ _` | |
| | |_| | | | (_| | | Version 0.6.2 (2017-12-13 18:08 UTC)
_/ |\__'_|_|_|\__'_| | Official http://julialang.org/ release
|__/ | x86_64-pc-linux-gnu
julia> using Nemo
Welcome to Nemo version 0.7.3
Nemo comes with absolutely no warranty whatsoever
julia> R = ResidueRing(ZZ, 6)
Integers modulo 6
julia> a = R(5)
5
julia> b = R(4)
4
julia> c = a * b
2
julia> c / a
ERROR: MethodError: no method matching /(::Nemo.nmod, ::Nemo.nmod)
julia> c / b
ERROR: MethodError: no method matching /(::Nemo.nmod, ::Nemo.nmod)
julia>
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