From memory (and this is delving deep into mental storage), division came clear roughly at the same time as multiplication, as "the inverse of". Then long division became an easier, quicker way of finding the right answer instead of starting with multiplying the dividend by a "best guess" and from there extrapolate the right answer.
Yes, I used to (quickly) solve divcision problems by going "Aha, I need to divide 56 by 4. 4*10 is 40, too low. 4*20 is twice that, so too high. What about 4*15? 60, that's close, but still high, let's try 4*14 scribble ah, right, 14 it is, then."
On the other hand, I was playing around with integration and derivation at the age of 12, so I suspect I am a bit atypical.
I do remember it took me a while after figuring out long division before I understood why 22 / 0.5 was higher than 22, but that (too) clicked eventually.
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Yes, I used to (quickly) solve divcision problems by going "Aha, I need to divide 56 by 4. 4*10 is 40, too low. 4*20 is twice that, so too high. What about 4*15? 60, that's close, but still high, let's try 4*14 scribble ah, right, 14 it is, then."
On the other hand, I was playing around with integration and derivation at the age of 12, so I suspect I am a bit atypical.
I do remember it took me a while after figuring out long division before I understood why 22 / 0.5 was higher than 22, but that (too) clicked eventually.