3889 ÷ 6 = 648 R1
Alright, let's work through the division of 3889 by 6 step by step.

Step 1:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Step 2:
6 goes into 38 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 36 from 38 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 3:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 64
Subtract 24 from 28 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 6

Step 4:
6 goes into 49 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 648
Subtract 48 from 49 to get 1.

The final result is 648 with a remainder of 1.