71376 ÷ 9 = 7930 R6
Alright, let's work through the division of 71376 by 9 step by step.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Step 2:
9 goes into 71 7 times with a remainder of 8.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 71 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 9

Step 3:
9 goes into 83 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 79
Subtract 81 from 83 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 9

Step 4:
9 goes into 27 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 793
Subtract 27 from 27 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 5:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 7930
Subtract 0 from 6 to get 6.

The final result is 7930 with a remainder of 6.