4187 ÷ 9 = 465 R2
Alright, let's work through the division of 4187 by 9 step by step.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 2:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 41 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 3:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 46
Subtract 54 from 58 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 9

Step 4:
9 goes into 47 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 465
Subtract 45 from 47 to get 2.

The final result is 465 with a remainder of 2.