Starting on the lowest setting (1 on a KitchenAid pasta roller attachment), pass the dough through the machine. Fold the sheet of dough in half lengthwise, pressing it firmly together, then pass it through on the lowest setting three to four more times, or until the dough is smooth and silky. Continue to pass the dough through the pasta roller, adjusting it one notch at a time (do not fold the dough onto itself) until it reaches the desired thinness. If the sheet of pasta becomes too long and unmanageable to work with, cut it into two smaller portions and roll them out one at a time.
Repeat with the remaining pieces of dough, storing the rolled-out sheets of pasta between clean dish towels.