Let's divide 629345 by 25
Our goal is to divide 629345 by 25.

Advancing to step 1:
6 divided by 25 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 25

Moving on to step 2:
The number 25 fits into 62 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
If we take 50 away from 62, we end up with 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 25

Let's proceed to step 3:
129 divided by 25 is 5 with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 25.0
If we subtract 125 from 129, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 25

Going ahead to step 4:
The number 25 fits into 43 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 251.0
Subtracting 25 from 43 leaves us with 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 25

Let's proceed to step 5:
25 can be fit into 184 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 2517.0
Subtract 175 from 184 to get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 25

Advancing to step 6:
25 goes into 95 3 times with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 25173.0
If we subtract 75 from 95, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
If we divide 200 by 25, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 25173.8
If we take 200 away from 200, we end up 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:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 25173.8
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.

On to step 9:
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: 25173.8
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.

Our division results in 25173.8 with a remaining 0.0.