The majority rejected the bill’s main idea (in parliamentary jargon, they voted against giving the bill a second reading). This means the bill failed and won’t be debated anymore.
The bill’s main idea was that Australian law should recognise all marriages that are legal overseas, including same-sex marriages.
Rebellion and a free vote
Liberal Senator Sue Boyce was a rebel and agreed with the bill’s main idea while the rest of the Liberal Party disagreed with it.
The Labor Party treated this division as a free vote so Labor senators could vote for or against it.
Background to the bill
Same-sex marriage is not legal or recognised in Australia so homosexual couples who marry overseas are not considered married here.
Greens Senator Sarah Hanson-Young introduced this bill two months after New Zealand became the latest country to allow same-sex marriage (more information on Wikipedia).
ABC News reported the result of this division.