24219 ÷ 8 = 3027 R3
Alright, let's work through the division of 24219 by 8 step by step.

Step 1:
8 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 (4) of the dividend behind the 2 and repeat the process: 24 / 8

Step 2:
8 goes into 24 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 24 from 24 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Step 3:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 30
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 4:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 302
Subtract 16 from 21 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 5:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 3027
Subtract 56 from 59 to get 3.

The final result is 3027 with a remainder of 3.