>>13133039Okay, it works like this:
Let's divide 2374 by 7. We can't do it at a glance, so we'll break it down into a bunch of smaller, easier problems.
We start by dividing 2000 by 7. I don't know that one immediately either. No worries.
Next we'll try dividing 2300 by 7. Again, won't quiet work, but I know 2100/7 would be 300. So a write down the 300, then figure out what's left over. In this case, 2300-2100 = 200. Add in the 74 left from my original number, and now I'm at 274.
>So basically, I've turned 2374/7 into 2100/7 + 274/7, which I know is 300 + 274/7.Do the same thing again: 270/7 is just 210/7 + 60/7, so 274/7 becomes 210/7 + 64/7 becomes 30 + 64/7.
>So now: 2374/7 = 300 + 30 + 64/7.Next: 64/7 = 63/7 +1/7 = 9 + 1/7
>Thus: 2374/7 = 300 + 30 + 9 + 1/7 = 339 and 1/7. 
