We're dividing 25375189 by 629 
Our goal is to divide 25375189 by 629.

Let's proceed to step 1:
The number 629 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 629

Moving on to step 2:
When dividing 25 by 629, we get 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 629

Step 3:
If we divide 253 by 629, we get 0 and a remainder of 253.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 253, we end up with 253.
Grab the next digit (7) from the dividend, add it to 253, then carry on: 2537 / 629

Advancing to step 4:
629 goes into 2537 4 times with a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 2516 from 2537, we get 21.
Grab the next digit (5) from the dividend, add it to 21, then carry on: 215 / 629

Advancing to step 5:
215 divided by 629 is 0 with a remainder of 215.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
If we take 0 away from 215, we end up with 215.
Grab the next digit (1) from the dividend, add it to 215, then carry on: 2151 / 629

Step 6:
629 goes into 2151 3 times with a remainder of 264.
The number 3 becomes the next digit in our result. 
Result so far: 403.0
The remainder is 264 after subtracting 1887 from 2151.
Take the next digit (8) from the dividend and append it to 264, then repeat: 2648 / 629

Moving on to step 7:
When dividing 2648 by 629, we get 4 with a remainder of 132.
The number 4 becomes the next digit in our result. 
Result so far: 4034.0
The remainder is 132 after subtracting 2516 from 2648.
Bring next digit (9) of the dividend behind the 132 and repeat the process: 1329 / 629

On to step 8:
If we divide 1329 by 629, we get 2 and a remainder of 71.
Put 2 as the next digit of the answer. 
Result so far: 40342.0
If we take 1258 away from 1329, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 9:
710 divided by 629 is 1 with a remainder of 81.
Write down 1 as next digit of the result. 
Result so far: 40342.1
If we take 629 away from 710, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 10:
When dividing 810 by 629, we get 1 with a remainder of 181.
Use 1 as the next digit of our solution. 
Result so far: 40342.11
Deduct 629 from 810 and we're left with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Our division results in 40342.11 with a remaining 0.181.