Integer Division

Some divisions are optimized into a multiplication and a shift.
The result of the mul operation is in two combined registers [edx:eax].
The value of edx is result/0xFFFFFFFF.
This optimization takes advantage of that fact:
(value*multiply/0xFFFFFFFF)>>shift =>; value*original

A multiplication followed by a division is sometimes optimized the same way.

Multiply	Shift	Original
0x069C16BD	0	665/25756
0x10624DD3	4	1/250
0x10624DD3	5	1/500
0x10624DD3	6	1/1000
0x2AAAAAAB	0	1/6
0x30C30C31	3	1/42
0x38E38E39	1	1/9
0x4EC4EC4F	3	1/26
0x51EB851F	5	1/100
0x55555556	0	1/3
0x66666667	1	1/5
0x66666667	2	1/10
0x66666667	3	1/20
0x66666667	4	1/40
0x66666667	5	1/80
0x66666667	6	1/160
0x66666667	7	1/320
0x66666667	8	1/640
0x6BCA1AF3	5	1/76
0x88888889	8	1/480
0x92492493	3	1/14
0xA0A0A0A1	7	1/204
0xAAAAAAAB	1	1/3
0xAAAAAAAB	2	1/6
0xAAAAAAAB	3	1/12
0xAAAAAAAB	4	1/24
0xAE147AE1	5	17/800
0xB21642C9	5	1/46
0xB60B60B7	5	1/45
0xBA2E8BA3	3	1/11
0xEA0EA0EB	0	32/35

Note: these optimization are only used if the resulting value doesn't lose precision in comparison to the original operation.