2871 ÷ 7 = 410 R1
Alright, let's work through the division of 2871 by 7 step by step.

Step 1:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 7

Step 2:
7 goes into 28 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 28 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 7

Step 3:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 41
Subtract 7 from 7 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 4:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 410
Subtract 0 from 1 to get 1.

The final result is 410 with a remainder of 1.