I will do it this way the next time. I got a cast iron skillet for Christmas and used it for the first time. According to the instructions that came with it, it was pre-seasoned so all they said to do was wipe it down with canola oil. The recipe online I found said the sear in the skillet for two minutes each side on high using butter. Then, put the skillet in the oven to bake, with the oven at 415 degrees. I did that and wound up setting the fire alarm off in my condo. I thought it was going to set off the alarm in the whole building, but thankfully it did not. I had the fan on over the stove, on high. I wound up having to bring out a pedestal fan to disperse the smoke. I shut the oven off as I thought I had to go to the lobby of my building - that's when I noticed the alarm just went off in my building. Ugh. So, while it tasted OK, it wasn't as cooked through as I had hoped. Then the next day I put the oven on to bake some salmon and when I opened the oven door - more smoke. Got out the fan again. I need better recipes.
When you say cook it in the skillet, at what temperature do you have the burner?