# 11/24

Well, this is arbitrary name for article.

Still, if we are using our normal, 10 digit system {0,1,2,3,4,5,6,7,8,9}, other name is base of 10, we get:

How many times 24 goes into 11? 0. So result now is 0…

How many times 24 goes into 110? 4 with some remainder, so result now is 0.4…

24*4=96, 110-24*4=14, and 24 goes 0 times into 14, but how many times 24 goes into 140? 5, so result now is 0.45…

140-24*5=20, 200 contains 8, so result not is 0.458.. and so on (well, it is 0.458333.. and that is irrelevant)

This is skill from elementary school, and there is nothing much to it.

But what if we want to operate in base of 5? Ie we have digits {0,1,2,3,4}, and counting goes like 0,1,2,3,4,10,11,12,13,14,20.. and so on

Well, lets convert both 11 and 24 to base 5 then. 11=1+5+5, and in base 5 it is then 1+10+10, so 11=21

what about 24? 24 is 4+5+5+5+5, so it is 44, 24=44

Therefore lets divide 21/44. 44 goes 0 time into 21, so it is 0…

How many times 44 goes into 210? 44*1=44, 44*2=143 (4*2=8=10+3, 4*2+1=10+3+1, and 1 is carry from before), 44*3=242.. stop, thats too much. So result now is 0.2…..

210-143=12 (143+12=0,1,2 ie 210)

44 do not fit into 12, but does so into 120, and as we already calculates, 2 is too much, it goes only 1 time.. so result now is 0.21….

120-44=1,2, so 120-44=21.. it seems to be repeating, therefore