65309 ÷ 7 = 9329 R6
Alright, let's work through the division of 65309 by 7 step by step.

Step 1:
7 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 / 7

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

Step 3:
7 goes into 23 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 93
Subtract 21 from 23 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 4:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 932
Subtract 14 from 20 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 5:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 9329
Subtract 63 from 69 to get 6.

The final result is 9329 with a remainder of 6.