37765 ÷ 9 = 4196 R1
We're going to perform division on 37765 with 9 as the divisor.

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 (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 3:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 41
Subtract 9 from 17 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 4:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 419
Subtract 81 from 86 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 5:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 4196
Subtract 54 from 55 to get 1.

The final result is 4196 with a remainder of 1.