We look at the division of 354625 by 25 
We want to divide 354625 by 25.

Advancing to step 1:
25 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 25

Step 2:
If we divide 35 by 25, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 25 away from 35, we end up with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 25

Moving on to step 3:
104 divided by 25 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 100 from 104 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 25

Step 4:
When dividing 46 by 25, we get 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 141.0
Subtracting 25 from 46 leaves us with 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 25

Moving on to step 5:
25 can be fit into 212 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1418.0
Subtracting 200 from 212 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 25

Going ahead to step 6:
25 can be fit into 125 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 14185.0
The remainder is 0 after subtracting 125 from 125.
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 7:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 14185.0
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.

Let's proceed to step 8:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 14185.0
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.

The quotient of the division is 14185.0, and the remainder is 0.0.