Quad meshing - Isocurve problem

Hi, It seems I am stuck with this problem. Hopefully somebody can help me. I am trying to model an area. I would like to be able to Quad mesh the area in each sub area. However I get an issues with meshing as shown below. I know this is because I use Isocurve for splitting the area. Any help will be appreciated.

your problem is that it’s not cut ON the grid?
(also: it helps to attach the file)

Yes, I have attached the grasshopper file too.quadmeshing.gh (15.6 KB)