How did the people of the French Revolution overthrow the government?

Everything started in 1789, when France was nearly bankruptcy. Thounsands of angry poor people decided to storm the Bastille prison - the symbol of the monarchy and old bad times. But it was only the beginning of the French Revolution. When France became a republic, in 1792, people executed the king Louis XVI and his wife. The idea of revolution spread around the country, peasants were eliminating old authorities killing them by the guillotine.

I believe they beheaded Marie and King Louie. And they also tore down the biggest prison, brick by brick, as a symbol of their new freedom.