I work out in this way, lifting/body weight exercises, every 2-3 days, I hike 1-2hrs/day 5-6 days/week (recently I've added some sprinting to my hikes), and I do some other physically demanding "sporting" activities for about an hour every day. I don't do pushups every day, I do them 2-4 days/week. On days that I don't do a full lifting workout, I will sometimes do a ~30min partial workout just to get the juices flowing before leaving the house, today was one of those days, so was yesterday. Tomorrow is a full workout day. If I wake up early enough, I should be able to hit 300-400 pushups.

No, I am not going to answer your questions directly, because it doesn't really matter how many pushups I did yesterday or the day before, or on any given day. What matters is the total approach I take to fitness. I was just bragging about 400 because it's a new milestone for me, one I wouldn't have foreseen a few years ago. And I lol'd because now that I've made it to this point, doing just 1 pushup sounds so funny. However, there was a point when I could barely do 10 pushups in a row. I remember the struggle well...

Here's my suggestion to those who are just starting with this stuff: Warm up first. At the very least, just swing your arms around while standing. Push out at the air in front of you or above you, do arm circles, etc. Then do your pushups. If you can do 1 pushup without vomiting or tearing a muscle or connective tissue, then do another. If you can do 2, do 3, and so on. If you get to 5 or 10, or even if you only did 1, and you find you are struggling, and your arms are burning and shaking, take a break and do some situps, or curls, or jumping jacks, or whatever. Once your arms have cooled off a little, do another set. Keep doing this until you can't do even just 1 anymore, and keep track of how many you do. I use a pad of paper where I tally each set of 25. I usually do about 8 sets/hour. These days, the only reason I don't do more pushups in a workout is time constraints. If you're only doing 1-5 pushups/set you could probably do 15-20 sets/hour. You may be surprised at many you can actually do if you spread it out a little and don't just try to do them all in a row.

Now go do your pushup ;)

PS: be careful with pullups. If you're not strong enough to do 5 in a row, you could easily hurt yourself. Build up strength by doing pullups with rubber/silicone workout bands first, if you can't do them without.