8732 ÷ 8 = 1091 R4
Alright, let's work through the division of 8732 by 8 step by step.

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

Step 2:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 7 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 8

Step 3:
8 goes into 73 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 72 from 73 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 4:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1091
Subtract 8 from 12 to get 4.

The final result is 1091 with a remainder of 4.