Although Pakistan gets a significant amount from the DfID pot, most of it is actually in the form of funds routed into FCO sponsored projects to support democratic movements and prevent extremism. A further lot gets dished out to in-country groups working towards similar aims. It is 'development' aid; encompassing economic, industrial, social and political development, the word 'aid' often gets confused with food parcels and such like. In Pakistan for example there is currently a huge project funded by the FCO and DfID in universities working towards countering the influence of extremist student organisations.
This is not to say of course that this approach works, an optimistic estimate is that about a third of the 'prevent' strategies we fund in Pakistan and Afghanistan might work.