2488 ÷ 3 = 829 R1
Alright, let's work through the division of 2488 by 3 step by step.

Step 1:
3 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 / 3

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

Step 3:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 82
Subtract 6 from 8 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Step 4:
3 goes into 28 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 829
Subtract 27 from 28 to get 1.

The final result is 829 with a remainder of 1.