BAGHDAD - Insurgents bombed a polling station and lobbed grenades at voters Sunday, killing 36 people in attacks aimed at intimidating those taking part in an election that will determine whether the country can overcome the sectarian divisions that have plagued it since the 2003 U.S.-led invasion.

Many Iraqis hope the election will put them on a path toward national reconciliation as the U.S. prepares to withdraw combat forces by late summer and all troops by the end of next year. Prime Minister Nouri al-Maliki is fighting for his political future with challenges from a coalition of mainly Shiite religious groups on one side and a secular alliance combining Shiites and Sunnis on the other.

Despite mortars raining down nearby, voters in the capital still came to the polls. In the predominantly Sunni neighborhood of Azamiyah in northern Baghdad, Walid Abid, a 40-year-old father of two, was speaking as mortars boomed several hundreds yards away. Police reported at least 20 mortar attacks in the neighborhood shortly after daybreak. Mortars also fell in the Green Zone - home to the U.S. Embassy and the prime minister's office.

"I am not scared and I am not going to stay put at home," said Abid, who owns a cafe. "Until when? We need to change things. If I stay home and not come to vote, Azamiyah will get worse."

Polls closed at 5 p.m. as scheduled and election officials said it could be days before preliminary results are released.

Observers warn the election is only a first step in the political process. With the fractured nature of Iraqi politics, it could take months of negotiations after results are released in the coming days for a government to be formed.