Let's divide 470434 by 25
We want to figure out the number of times 470434 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
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 25

Let's proceed to step 2:
25 can be fit into 47 1 times, resulting in a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 25 away from 47, we end up with 22.
Grab the next digit (0) from the dividend, add it to 22, then carry on: 220 / 25

On to step 3:
When dividing 220 by 25, we get 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtracting 200 from 220 leaves us with 20.
Grab the next digit (4) from the dividend, add it to 20, then carry on: 204 / 25

Going ahead to step 4:
If we divide 204 by 25, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 188.0
If we subtract 200 from 204, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 25

On to step 5:
If we divide 43 by 25, we get 1 and a remainder of 18.
The next digit of our result is 1. 
Result so far: 1881.0
Deduct 25 from 43 and we're left with 18.
Bring next digit (4) of the dividend behind the 18 and repeat the process: 184 / 25

Going ahead to step 6:
25 goes into 184 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 18817.0
Subtracting 175 from 184 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 25 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 18817.3
Deduct 75 from 90 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
If we divide 150 by 25, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 18817.36
If we subtract 150 from 150, 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.
Use 0 as the next digit of our solution. 
Result so far: 18817.36
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:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 18817.36
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 18817.36 and a remainder of 0.0.