81107 ÷ 7 = 11586 R5
Let's divide 81107 by 7.

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 (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 2:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 11 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 3:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 115
Subtract 35 from 41 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 7

Step 4:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 1158
Subtract 56 from 60 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Step 5:
7 goes into 47 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 11586
Subtract 42 from 47 to get 5.

The final result is 11586 with a remainder of 5.