On Pesach night, following Beis Hillel we break up Hallel between חלמיש למעינו מים and לא לנו.
This is in the middle of a parsha, according to the Keter (navigate to Psalms --> From 114_2 to 118_1) and Leningrad (direct link to the page).
Why break in the middle of a parsha?
* This is one of the only two places in Tehillim where the Christian chapter divisions deviate from our Mesorah. The other is that we divide their chapter 119 into 22 parshiyot, one for each letter.