2189 ÷ 3 = 729 R2
Alright, let's work through the division of 2189 by 3 step by step.

Step 1:
3 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 (1) of the dividend behind the 2 and repeat the process: 21 / 3

Step 2:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 21 from 21 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Step 3:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 72
Subtract 6 from 8 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 4:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 729
Subtract 27 from 29 to get 2.

The final result is 729 with a remainder of 2.