The firemen succeeded in putting out the fire in the chemical factory.
= The firemen (managed to) put out the fire in the chemical factory.
消防员成功地扑灭了化工厂里面的大火。
解释:succeed in doing sth = manage to do sth 成功做到某事
没有succeed to do sth这样的搭配,倒是有succeed to sb/sth,意思是“继承/继任...”。
参考资料:英语牛人团