21616 ÷ 9 = 2401 R7
Alright, let's work through the division of 21616 by 9 step by step.

Step 1:
9 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 9

Step 2:
9 goes into 21 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 21 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 9

Step 3:
9 goes into 36 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 36 from 36 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 9

Step 4:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 240
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 5:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 2401
Subtract 9 from 16 to get 7.

The final result is 2401 with a remainder of 7.