72259 ÷ 8 = 9032 R3
Alright, let's work through the division of 72259 by 8 step by step.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 8

Step 2:
8 goes into 72 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 72 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Step 3:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 90
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 8

Step 4:
8 goes into 25 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 903
Subtract 24 from 25 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 8

Step 5:
8 goes into 19 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 9032
Subtract 16 from 19 to get 3.

The final result is 9032 with a remainder of 3.