Carol, hope you are still there...
That's why it's important to give the both make and model number (especially the model). I wasn't aware your machine was a G600 type. I just ran up a drawing on the G640. It has a conventional heating element in the bottom of the compartment...not an inline heater (+ 2 thermostats) in the side like newer models. It is not a huge undertaking the change this! You would have disconnect the plug & pipes, pull out the machine out & turn it on it's back. Then remove the bottom plate (4 screws). This gives you access to the inner components, amongst which the heater terminals & gasket (the mounting rails inside the compartment can be reused. It would be worthwhile checking the resistance of the old element before removing. It should have a value of around 20 ohms, yours will probably show infinity if it has failed.
The heater is 2.7kW/230v & costs 98 Euros here. It has p/n 4266055 (only available from Miele). What's that...about 96 pounds or so? If you have a handyman in the family who could help you it wouldn't take more than a couple of hours to replace. I am against Miele protectionism but goodness they make great machines, far too good to scrap at 6 years old. I have seen these machines 14-15 years old & still going strong. Its worth a go. I can help you with technical info if you let me know where to send it.
Mike, November 2009