This character 逐 is very interesting. 逐 is compound ideographic character composed of 辶 and 豕. 辶 is a variant of 辵 and means “foot, walking”. 豕 is a pig.
The original meaning of 逐 is: a foot is pursuing a pig. From this meaning, the following extended meanings are derived:
A.verb 1. pursue, e.g. 逐水草而居 migrate to wherever there is water and grass
2. drive out, e.g. 逐出门外 drive sb. out of the door; 被逐出境 be expelled from a country
B. preposition, one by one, e.g. 逐条说明 explain item by item; 逐字逐句地讲解课文 explain the text sentence by sentence
逐步 逐渐 逐一 逐日
逐 in set phrases