6171 ÷ 7 = 881 R4
Alright, let's work through the division of 6171 by 7 step by step.

Step 1:
7 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 (1) of the dividend behind the 6 and repeat the process: 61 / 7

Step 2:
7 goes into 61 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 56 from 61 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Step 3:
7 goes into 57 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 56 from 57 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 4:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 881
Subtract 7 from 11 to get 4.

The final result is 881 with a remainder of 4.