94089 ÷ 6 = 15681 R3
Alright, let's work through the division of 94089 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 2:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 34 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 3:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 156
Subtract 36 from 40 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 6

Step 4:
6 goes into 48 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 1568
Subtract 48 from 48 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 6

Step 5:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 15681
Subtract 6 from 9 to get 3.

The final result is 15681 with a remainder of 3.