We look at the division of 468042 by 25 
We want to figure out the number of times 468042 can be divided by 25.

On to step 1:
The number 25 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 25

Advancing to step 2:
The number 25 fits into 46 1 times, leaving a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 25 from 46, we get 21.
Fetch the next digit (8) from the dividend, attach it to 21 and continue: 218 / 25

Step 3:
If we divide 218 by 25, we get 8 and a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Deduct 200 from 218 and we're left with 18.
Grab the next digit (0) from the dividend, add it to 18, then carry on: 180 / 25

On to step 4:
25 goes into 180 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 187.0
If we take 175 away from 180, we end up with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 25

Let's proceed to step 5:
The number 25 fits into 54 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 1872.0
Subtract 50 from 54 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 25

On to step 6:
25 goes into 42 1 times with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 18721.0
The remainder is 17 after subtracting 25 from 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
When dividing 170 by 25, we get 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 18721.6
The remainder is 20 after subtracting 150 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 25 is 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 18721.68
Deduct 200 from 200 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 18721.68
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 18721.68
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 18721.68, and the remainder is 0.0.