We're dividing 474476 by 25 
We want to figure out the number of times 474476 can be divided by 25.

Advancing to step 1:
When dividing 4 by 25, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 25

On to step 2:
When dividing 47 by 25, we get 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 25 from 47, we get 22.
Append the next digit (4) from the dividend to 22 and continue with: 224 / 25

Let's proceed to step 3:
25 goes into 224 8 times with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we subtract 200 from 224, we get 24.
Bring next digit (4) of the dividend behind the 24 and repeat the process: 244 / 25

On to step 4:
244 divided by 25 is 9 with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 189.0
Subtract 225 from 244 to get 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 25

Going ahead to step 5:
25 can be fit into 197 7 times, resulting in a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 1897.0
Deduct 175 from 197 and we're left with 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 25

Let's proceed to step 6:
25 can be fit into 226 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 18979.0
If we subtract 225 from 226, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 25, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 18979.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
25 can be fit into 100 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 18979.04
If we subtract 100 from 100, we 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.

Step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 18979.04
Subtracting 0 from 0 leaves us 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.

Moving on to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 18979.04
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.

After the division, we end up with 18979.04 and a remainder of 0.0.