Ayuh,.... 'n use the biggest, heaviest hammer you can swing,.....That looks like it will break up easily. For best results work from the edge and on areas that have no support underneath.
ooooh I actually really like this idea...... ya know you can rent an electric hammer that will make this job stupid easy...If I got stuck doing this I'd be first making cuts with a diamond blade with my circular saw across the width of the stoop so it would snap off in even strips instead of small pieces.