8731 ÷ 6 = 1455 R1
Alright, let's work through the division of 8731 by 6 step by step.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 6

Step 2:
6 goes into 27 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 24 from 27 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 3:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 145
Subtract 30 from 33 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 4:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1455
Subtract 30 from 31 to get 1.

The final result is 1455 with a remainder of 1.