64591 ÷ 8 = 8073 R7
Alright, let's work through the division of 64591 by 8 step by step.

Step 1:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 8

Step 2:
8 goes into 64 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 64 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 8

Step 3:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 80
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 4:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 807
Subtract 56 from 59 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 5:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 8073
Subtract 24 from 31 to get 7.

The final result is 8073 with a remainder of 7.