What's the correct word division of this sentence?
The sentence describes a two parts action.

&quot;农夫过去一看&quot; means &quot;the farmer went over and took a look&quot;


农夫 the farmer

过去 went over

一看 took a look



过 is a verb for &quot;go over&quot;  e.g. 过美国 (go over to The United States)
去 is the directional verb particle that indicates which direction the subject is going over
&quot;过去美国&quot; (go over to The United States) is different from &quot;过来美国&quot; (come over to The United States); it is &quot;农夫过去一看&quot; (the farmer goes over and take a look), not &quot;农夫过来一看&quot; (the farmer comes over and take a look)

一看 is a more literary style of saying 看看 or 看一看
Note:
过去 (v): go over
过去 (n): past