It is difficult to show here, but assume the 102 is there on the left side of the division sign.
0.049019....
---------
5.00000
408
0920
0918
00020
000200
000102
0000980
so 408 (which is 4*102) is subtracted from '500' to get 92. Bring down a zero and you have 920. (920/102 = 9 remainder 2)
9*102= 118. Subtract from 920 = 2 (that's the 2 remainder from above). Bring down a zero. 20 is not big enough, bring down another zero. 200/102 = 1, remainder 98. Bring down a zero and we have 980. Divide by 102 = 9. Keep going until you see repetition, which may be awhile, or till you have sufficient digits. I took it to 0.0490196078431373 and don't see repetition, yet.
0.1667
102
138.4
0.4
102
130.4
5.1429
2.7143
54
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29.8
0.049