77909 ÷ 6 = 12984 R5
Alright, let's work through the division of 77909 by 6 step by step.

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 (7) of the dividend behind the 1 and repeat the process: 17 / 6

Step 2:
6 goes into 17 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 17 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 6

Step 3:
6 goes into 59 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 129
Subtract 54 from 59 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Step 4:
6 goes into 50 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1298
Subtract 48 from 50 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 5:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 12984
Subtract 24 from 29 to get 5.

The final result is 12984 with a remainder of 5.