centralize and split frame division tests
- [ ] closes #xxxx
- [ ] tests added / passed
- [ ] passes `git diff upstream/master -u -- "*.py" | flake8 --diff`
- [ ] whatsnew entry

# [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/19527?src=pr&el=h1) Report
> Merging [#19527](https://codecov.io/gh/pandas-dev/pandas/pull/19527?src=pr&el=desc) into [master](https://codecov.io/gh/pandas-dev/pandas/commit/e8620abc12a4c468a75adb8607fd8e0eb1c472e7?src=pr&el=desc) will **decrease** coverage by `5.52%`.
> The diff coverage is `n/a`.

[![Impacted file tree graph](https://codecov.io/gh/pandas-dev/pandas/pull/19527/graphs/tree.svg?height=150&src=pr&token=eZ4WkYLtcO&width=650)](https://codecov.io/gh/pandas-dev/pandas/pull/19527?src=pr&el=tree)

```diff
@@            Coverage Diff             @@
##           master   #19527      +/-   ##
==========================================
- Coverage   91.62%   86.09%   -5.53%     
==========================================
  Files         150      150              
  Lines       48680    48681       +1     
==========================================
- Hits        44603    41914    -2689     
- Misses       4077     6767    +2690
```

| Flag | Coverage Δ | |
|---|---|---|
| #multiple | `86.09% <ø> (-3.9%)` | :arrow_down: |
| #single | `32.38% <ø> (-9.36%)` | :arrow_down: |

| [Impacted Files](https://codecov.io/gh/pandas-dev/pandas/pull/19527?src=pr&el=tree) | Coverage Δ | |
|---|---|---|
| [pandas/io/s3.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2lvL3MzLnB5) | `0% <0%> (-86.37%)` | :arrow_down: |
| [pandas/core/computation/align.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvY29tcHV0YXRpb24vYWxpZ24ucHk=) | `18.94% <0%> (-78.95%)` | :arrow_down: |
| [pandas/io/pytables.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2lvL3B5dGFibGVzLnB5) | `19.7% <0%> (-72.76%)` | :arrow_down: |
| [pandas/io/feather\_format.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2lvL2ZlYXRoZXJfZm9ybWF0LnB5) | `20% <0%> (-65.72%)` | :arrow_down: |
| [pandas/core/computation/pytables.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvY29tcHV0YXRpb24vcHl0YWJsZXMucHk=) | `29.87% <0%> (-62.5%)` | :arrow_down: |
| [pandas/io/html.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2lvL2h0bWwucHk=) | `32.08% <0%> (-53.9%)` | :arrow_down: |
| [pandas/core/computation/expressions.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvY29tcHV0YXRpb24vZXhwcmVzc2lvbnMucHk=) | `45.37% <0%> (-47.9%)` | :arrow_down: |
| [pandas/io/parquet.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2lvL3BhcnF1ZXQucHk=) | `25.22% <0%> (-46.85%)` | :arrow_down: |
| [pandas/io/formats/excel.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2lvL2Zvcm1hdHMvZXhjZWwucHk=) | `51.64% <0%> (-45.73%)` | :arrow_down: |
| [pandas/core/computation/engines.py](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvY29tcHV0YXRpb24vZW5naW5lcy5weQ==) | `53.96% <0%> (-34.93%)` | :arrow_down: |
| ... and [19 more](https://codecov.io/gh/pandas-dev/pandas/pull/19527/diff?src=pr&el=tree-more) | |

------

[Continue to review full report at Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/19527?src=pr&el=continue).
> **Legend** - [Click here to learn more](https://docs.codecov.io/docs/codecov-delta)
> `Δ = absolute <relative> (impact)`, `ø = not affected`, `? = missing data`
> Powered by [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/19527?src=pr&el=footer). Last update [e8620ab...f30e0bf](https://codecov.io/gh/pandas-dev/pandas/pull/19527?src=pr&el=lastupdated). Read the [comment docs](https://docs.codecov.io/docs/pull-request-comments).
 thanks!