We're dividing 25239743 by 633 
Our goal is to divide 25239743 by 633.

On to step 1:
633 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 633

Going ahead to step 2:
633 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 633

Step 3:
252 divided by 633 is 0 with a remainder of 252.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 252, we get 252.
Fetch the next digit (3) from the dividend, attach it to 252 and continue: 2523 / 633

On to step 4:
633 can be fit into 2523 3 times, resulting in a remainder of 624.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 624 after subtracting 1899 from 2523.
Append the next digit (9) from the dividend to 624 and continue with: 6249 / 633

Step 5:
The number 633 fits into 6249 9 times, leaving a remainder of 552.
The next digit of our result is 9. 
Result so far: 39.0
Subtract 5697 from 6249 to get 552.
Fetch the next digit (7) from the dividend, attach it to 552 and continue: 5527 / 633

Let's proceed to step 6:
If we divide 5527 by 633, we get 8 and a remainder of 463.
Put 8 as the next digit of the answer. 
Result so far: 398.0
If we take 5064 away from 5527, we end up with 463.
Grab the next digit (4) from the dividend, add it to 463, then carry on: 4634 / 633

Let's proceed to step 7:
633 can be fit into 4634 7 times, resulting in a remainder of 203.
Record the quotient 7 as the next digit in the result. 
Result so far: 3987.0
If we subtract 4431 from 4634, we get 203.
Bring next digit (3) of the dividend behind the 203 and repeat the process: 2033 / 633

Moving on to step 8:
633 goes into 2033 3 times with a remainder of 134.
The next digit of our result is 3. 
Result so far: 39873.0
The remainder is 134 after subtracting 1899 from 2033.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

Moving on to step 9:
When dividing 1340 by 633, we get 2 with a remainder of 74.
Use 2 as the next digit of our solution. 
Result so far: 39873.2
Subtracting 1266 from 1340 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 10:
If we divide 740 by 633, we get 1 and a remainder of 107.
The next digit of our result is 1. 
Result so far: 39873.21
If we subtract 633 from 740, we get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

On to step 11:
The number 633 fits into 1070 1 times, leaving a remainder of 437.
Put 1 as the next digit of the answer. 
Result so far: 39873.211
Deduct 633 from 1070 and we're left with 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

After the division, we end up with 39873.211 and a remainder of 0.0437.