82891 ÷ 7 = 11841 R4
Alright, let's work through the division of 82891 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 2:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 12 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 7

Step 3:
7 goes into 58 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 118
Subtract 56 from 58 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 4:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 1184
Subtract 28 from 29 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 5:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 11841
Subtract 7 from 11 to get 4.

The final result is 11841 with a remainder of 4.