18691 ÷ 4 = 4672 R3
Alright, let's work through the division of 18691 by 4 step by step.

Step 1:
4 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 2:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 16 from 18 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 4

Step 3:
4 goes into 26 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 46
Subtract 24 from 26 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 4:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 467
Subtract 28 from 29 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 4

Step 5:
4 goes into 11 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 4672
Subtract 8 from 11 to get 3.

The final result is 4672 with a remainder of 3.