2025 ÷ 6 = 337 R3
Alright, let's work through the division of 2025 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 (0) of the dividend behind the 2 and repeat the process: 20 / 6

Step 2:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 18 from 20 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 3:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 33
Subtract 18 from 22 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Step 4:
6 goes into 45 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 337
Subtract 42 from 45 to get 3.

The final result is 337 with a remainder of 3.