26623 ÷ 9 = 2958 R1
Alright, let's work through the division of 26623 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 (6) of the dividend behind the 2 and repeat the process: 26 / 9

Step 2:
9 goes into 26 2 times with a remainder of 8.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 26 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 3:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 29
Subtract 81 from 86 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Step 4:
9 goes into 52 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 295
Subtract 45 from 52 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 9

Step 5:
9 goes into 73 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 2958
Subtract 72 from 73 to get 1.

The final result is 2958 with a remainder of 1.