9089 ÷ 2 = 4544 R1
Alright, let's work through the division of 9089 by 2 step by step.

Step 1:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 8 from 9 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 2

Step 2:
2 goes into 10 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 45
Subtract 10 from 10 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 2

Step 3:
2 goes into 8 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 454
Subtract 8 from 8 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 2

Step 4:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4544
Subtract 8 from 9 to get 1.

The final result is 4544 with a remainder of 1.