97726 ÷ 6 = 16287 R4
Alright, let's work through the division of 97726 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 2:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 37 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: 162
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: 1628
Subtract 48 from 52 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 5:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 16287
Subtract 42 from 46 to get 4.

The final result is 16287 with a remainder of 4.