24829 ÷ 5 = 4965 R4
Alright, let's work through the division of 24829 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 (8) of the dividend behind the 4 and repeat the process: 48 / 5

Step 3:
5 goes into 48 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 49
Subtract 45 from 48 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 5

Step 4:
5 goes into 32 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 496
Subtract 30 from 32 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 5

Step 5:
5 goes into 29 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 4965
Subtract 25 from 29 to get 4.

The final result is 4965 with a remainder of 4.