24153 ÷ 6 = 4025 R3
Alright, let's work through the division of 24153 by 6 step by step.

Step 1:
6 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 / 6

Step 2:
6 goes into 24 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 24 from 24 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 6

Step 3:
6 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 40
Subtract 0 from 1 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 4:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 402
Subtract 12 from 15 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 5:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 4025
Subtract 30 from 33 to get 3.

The final result is 4025 with a remainder of 3.