27640 ÷ 9 = 3071 R1
Alright, let's work through the division of 27640 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 (7) of the dividend behind the 2 and repeat the process: 27 / 9

Step 2:
9 goes into 27 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 27 from 27 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 3:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 30
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Step 4:
9 goes into 64 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 307
Subtract 63 from 64 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 9

Step 5:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 3071
Subtract 9 from 10 to get 1.

The final result is 3071 with a remainder of 1.