Some resources that allow users to peruse the Senate budget vote history include Senate.gov and GovTrack.us. These websites provide comprehensive information about current and past senate roll call votes, including budget votes.
On Senate.gov, individuals can browse through the data related to budget votes by year. Tables are available for years since 1989 as of 2015. Each of the tables allows users to see the vote results, the description of the question on which the members of the Senate voted, and the date of the vote. GovTrack.us allows users to filter the votes for a period between 1789 to present day.