27089 ÷ 4 = 6772 R1
Alright, let's work through the division of 27089 by 4 step by step.

Step 1:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 4

Step 2:
4 goes into 27 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 24 from 27 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 3:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 28 from 30 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 4

Step 4:
4 goes into 28 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 677
Subtract 28 from 28 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 4

Step 5:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 6772
Subtract 8 from 9 to get 1.

The final result is 6772 with a remainder of 1.