Remove Record From A DataView?

I have a DataView which has been populated with a list of files from a database table. I want to iterate through the DataView to see if there are any files there of a particular type, and if so, do something with that record, and then remove it from the DataView.

I've coded this as follows, but there's something missing - I can iterate over an object and then remove an object from it, since that will affect the iterator.

DataView dv = new DataView();
dv = ds.Tables[3].DefaultView;
dlFiles.DataSource = dv;
dlFiles.DataBind();
for (int j = 0; j < dv.ToTable().Rows.Count; j++) {
if (dv.ToTable().Rows[j]["FilePath"].ToString().ToLower().Contains(".pdf")) {
//do something with this record and remove it from the dataview
}
}

As a note, dlFiles is a DataList used to display the the items in the DataView. The files removed are displayed differently, and so should not be referenced when iterating through the DataList.