4598 ÷ 8 = 574 R6
Alright, let's work through the division of 4598 by 8 step by step.

Step 1:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 2:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 45 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 3:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 56 from 59 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 8

Step 4:
8 goes into 38 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 574
Subtract 32 from 38 to get 6.

The final result is 574 with a remainder of 6.