42765 ÷ 9 = 4751 R6
Alright, let's work through the division of 42765 by 9 step by step.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 9

Step 2:
9 goes into 42 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 42 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 3:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 47
Subtract 63 from 67 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Step 4:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 475
Subtract 45 from 46 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Step 5:
9 goes into 15 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 4751
Subtract 9 from 15 to get 6.

The final result is 4751 with a remainder of 6.