15622 ÷ 9 = 1735 R7
Alright, let's work through the division of 15622 by 9 step by step.

Step 1:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Step 2:
9 goes into 15 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 15 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 9

Step 3:
9 goes into 66 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 63 from 66 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 9

Step 4:
9 goes into 32 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 173
Subtract 27 from 32 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Step 5:
9 goes into 52 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 1735
Subtract 45 from 52 to get 7.

The final result is 1735 with a remainder of 7.