This is a repository of elections results and precinct geographies for Chicago municipal elections. You can get all the files here by downloading this zip file.
The elections results are in the /data directory. They come in two formats: spreadsheets and geojson files.
The spreadsheets have a .csv file extension. You should be able to open these files in Excel or other spreadsheet program. Each rows contains the ballots and votes cast in an election in an election precinct.
The geojson files have a .geojson file extension. You can open these files in GIS software like QGIS. It has all the ballot and vote data for ever precinct but also the geographic data about the precinct. These files are good for making maps.
The 1983 data is from the Chicago Elections Project and is licensed CC BY 3.0 US.