In a large bowl add the lukewarm water, sugar and yeast. Let the yeast activate for about 15 minutes until foamy.
To the yeast add half of the flour and mix together. It should look like batter.
Add the salt and olive oil to the mixture and combine.
Start adding slowly the remaining flour until a dough is formed. Knead for about 10 minutes until you get a smooth dough.
Place the dough in a well oiled bowl and cover with a damp towel. Let rise for 1 hour in a warm place in your kitchen. Until it doubles in size.
Once the dough has risen, punch it down and divide the dough into 8 equal pieces.
Form the divided dough into balls and place on a floured sheet pan, cover and let rest for another hour.
Heat a cast iron, skillet or a non-stick pan and slightly drizzle some oil on the surface.
Start flattening the dough balls one at a time, leaving the others covered so that they don't dry. The dough is soft so it can be opened by hand in a flat circle, however you can also open the dough on a floured surface with a rolling pin.
Place the pita dough on the hot cast iron and cook for about 1 minute, turn and continue cook on the other side. This is a quick process so don't leave the stove while cooking the pita.
Place the cooked pita on a towel covered plate and cover the pitas with another towel so that they keep warm and don't dry.
Repeat the process until all the pitas are cooked.