65377 ÷ 9 = 7264 R1
Alright, let's work through the division of 65377 by 9 step by step.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 2:
9 goes into 65 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 65 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 9

Step 3:
9 goes into 23 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 72
Subtract 18 from 23 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 9

Step 4:
9 goes into 57 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 726
Subtract 54 from 57 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 5:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 7264
Subtract 36 from 37 to get 1.

The final result is 7264 with a remainder of 1.