64001 ÷ 8 = 8000 R1
We're going to perform division on 64001 with 8 as the divisor.

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 (0) of the dividend behind the 0 and repeat the process: 0 / 8

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

Step 4:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 800
Subtract 0 from 0 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 8

Step 5:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 8000
Subtract 0 from 1 to get 1.

The final result is 8000 with a remainder of 1.