7345 ÷ 9 = 816 R1
Alright, let's work through the division of 7345 by 9 step by step.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 9

Step 2:
9 goes into 73 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 72 from 73 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 3:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 81
Subtract 9 from 14 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 4:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 816
Subtract 54 from 55 to get 1.

The final result is 816 with a remainder of 1.