67724 ÷ 6 = 11287 R2
Alright, let's work through the division of 67724 by 6 step by step.

Step 1:
6 goes into 6 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 6 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 2:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 6 from 7 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

Step 3:
6 goes into 17 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 112
Subtract 12 from 17 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 4:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 1128
Subtract 48 from 52 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 6

Step 5:
6 goes into 44 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 11287
Subtract 42 from 44 to get 2.

The final result is 11287 with a remainder of 2.