BUG: Nullable int floordiv 0 result changed from 0 to inf

[mroeschke]

>>> import pandas as pd
>>> pd.__version__
'1.4.3'
>>> 1 // pd.Series([0], dtype='Int64')
0    0
dtype: Int64

vs

In [1]: pd.__version__
Out[1]: '1.6.0.dev0'  # essentially 1.5

In [2]: 1 // pd.Series([0], dtype='Int64')
Out[2]:
0    inf
dtype: Float64

Ran a bisect and found this was the commit that caused the change

57d7768c205d30cc50ba9b42d60d24d1e32eb249 is the first bad commit
commit 57d7768c205d30cc50ba9b42d60d24d1e32eb249
Author: jbrockmendel <[email protected]>
Date:   Thu Jan 27 16:33:24 2022 -0800

    BUG: NumericArray * td64_array (#45622)

While personally I think inf is a more sensible result than 0, appears this was still being actively discussed in #30188

[mroeschke]

Appears this was further refactored in #45849 cc @jbrockmendel

[jbrockmendel]

The old behavior was the bug.

Should add tests for "masked behavior when there are no NAs matches non-masked behavior"