25023 ÷ 6 = 4170 R3
No problem, we've got 25023 and 6 for the division.

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 (5) of the dividend behind the 2 and repeat the process: 25 / 6

Step 2:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 24 from 25 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Step 3:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 41
Subtract 6 from 10 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 6

Step 4:
6 goes into 42 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 417
Subtract 42 from 42 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 6

Step 5:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 4170
Subtract 0 from 3 to get 3.

The final result is 4170 with a remainder of 3.