37187 ÷ 9 = 4131 R8
Alright, let's work through the division of 37187 by 9 step by step.

Step 1:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 2:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 37 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 9

Step 3:
9 goes into 11 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 41
Subtract 9 from 11 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 9

Step 4:
9 goes into 28 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 413
Subtract 27 from 28 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 5:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 4131
Subtract 9 from 17 to get 8.

The final result is 4131 with a remainder of 8.