24871 ÷ 7 = 3553 R0
Alright, let's work through the division of 24871 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 (4) of the dividend behind the 2 and repeat the process: 24 / 7

Step 2:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 21 from 24 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 3:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 35
Subtract 35 from 38 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 7

Step 4:
7 goes into 37 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 355
Subtract 35 from 37 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 7

Step 5:
7 goes into 21 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3553
Subtract 21 from 21 to get 0.

The final result is 3553 with a remainder of 0.