First, make sure the oven and burners are off, and let the oven cool until it is warm but not hot. The Chateau cleaning notes suggest slightly warm, since slightly warm grease loosens more easily than cold, set grease. The CornuFe guide adds that you should turn off the circuit breaker and let the range cool before a thorough clean.
Second, take out the racks. For the racks, hot soapy water or the dishwasher both work on chrome, according to the CornuFe guide. Third, wipe the interior with a sponge and soapy water. For baked-on grease, spray an enamel-safe degreaser, leave it for 10 to 15 minutes as the Chateau notes describe, and wipe it away. Finally, rinse the surfaces with a damp cloth and dry them, then put the racks back.
On a gas oven, take special care around the burner area. The G4 gas oven has an enameled cast-iron RCC disc over the burner, which must cool completely before it is removed for cleaning. Keep the cleaner away from the igniter and do not flood the base of the oven with liquid.
Work from the top down so loosened grease does not drip onto parts you have already cleaned. Change the water or rinse the sponge as it fills, because a sponge loaded with grease only spreads it around. Pay attention to the corners and the door edge, where residue tends to collect, and to the glass if your oven door has an inner panel that your manual allows you to wipe. When the surfaces are wiped and dry, take a last look at the door seal to be sure no sponge fibers or food bits are stuck to it.