71076 ÷ 7 = 10153 R5
Alright, let's work through the division of 71076 by 7 step by step.

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

Step 2:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 3:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 101
Subtract 7 from 10 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: 1015
Subtract 35 from 37 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 5:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 10153
Subtract 21 from 26 to get 5.

The final result is 10153 with a remainder of 5.