24319 ÷ 5 = 4863 R4
Alright, let's work through the division of 24319 by 5 step by step.

Step 1:
5 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 / 5

Step 2:
5 goes into 24 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 20 from 24 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 5

Step 3:
5 goes into 43 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 48
Subtract 40 from 43 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 5

Step 4:
5 goes into 31 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 486
Subtract 30 from 31 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 5

Step 5:
5 goes into 19 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 4863
Subtract 15 from 19 to get 4.

The final result is 4863 with a remainder of 4.