1727 ÷ 8 = 215 R7
Alright, let's work through the division of 1727 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 2:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 17 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 3:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 8 from 12 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 8

Step 4:
8 goes into 47 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 215
Subtract 40 from 47 to get 7.

The final result is 215 with a remainder of 7.