The resistance of a circuit is 35 Ohms. The input is 240V. What is the resulting amperage?

I get 6.8571428

WOuld it be just 6.86?

Close enough for all practical purposes.

This assumes a purely resistive circuit. If it contains inductance and/or capacitance then the current will be affected by the reactance.

Also, in some cases the load resistance can change when power applied. If you measure the resistance of a heating element when cold for example, you could expect it to change a little once power starts flowing and it gets hot.