20137 ÷ 9 = 2237 R4
Alright, let's work through the division of 20137 by 9 step by step.

Step 1:
9 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 (0) of the dividend behind the 2 and repeat the process: 20 / 9

Step 2:
9 goes into 20 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 20 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 9

Step 3:
9 goes into 21 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 18 from 21 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 9

Step 4:
9 goes into 33 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 223
Subtract 27 from 33 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 5:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 2237
Subtract 63 from 67 to get 4.

The final result is 2237 with a remainder of 4.