Here's an example division using the flowchart to do Q/M where Q=10101b (21d) and M=00011b (3d)
 

On entry,

A=0, count=5, M=0001100000

A<<1, Q<<1 gives A=0, Q=101010

Q=Q-M gives Q=101010-1100000 which is negative

So we set A[0]=0 and Q=Q+M=101010 again
 

count=4

A<<1, Q<<1 gives A=0, Q=1010100

Q=Q-M gives Q=1010100-1100000 which is negative

So we set A[0]=0 and Q=Q+M=1010100 again
 

count=3

A<<1, Q<<1 gives A=0, Q=10101000

Q=Q-M gives Q=10101000-1100000 which is 1001000 (positive)

So we set A[0]=1 (A=1)
 

count=2

A<<1, Q<<1 gives A=10, Q=10010000

Q=Q-M gives Q=100100000-1100000 which is 110000 (positive)

So we set A[0]=1 (A=11)
 

count=1

A<<1, Q<<1 gives A=110, Q=1100000

Q=Q-M gives Q=1100000-1100000 which is 0

So we set A[0]=1 (A=111)
 

count=0, on exit, A=quotient=111b (7d) and Q=remainder=0 correct!!