What the OP is asking is if he can convert a 240 dryer to 110. Yes, you can. There are three wires at the terminal block where a 240 pigtail connects. The neutral white wire remains neutral, but one of the red or black (the one that completes the element circuit, not the one that goes to the motor) needs to connect with neutral. Then connect a 110 pigtail to the remaining hot and neutral wires. In effect, you will be completing the element circuit to N instead of L2.
Of course, what this means is that you are going to do some cutting and splicing, and when you move to another place that has 240, you will need to either repair what you did, or call someone to do it for you.
And remember: a 240 dryer running on 110 will dry slower because the element is running at half the watts. Figure an 2 hours for an average load.
It may be easier to just buy a gas dryer. I arranged for one for a friend the other day, on sale at Lowes, for about $265.