76117 ÷ 6 = 12686 R1
No problem, we've got 76117 and 6 for the division.

Step 1:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 7 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 2:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 16 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 3:
6 goes into 41 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 126
Subtract 36 from 41 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Step 4:
6 goes into 51 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 1268
Subtract 48 from 51 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 5:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 12686
Subtract 36 from 37 to get 1.

The final result is 12686 with a remainder of 1.