We're dividing 19130125 by 633 
We're looking to find how many times 633 goes into 19130125.

On to step 1:
633 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 633

On to step 2:
19 divided by 633 is 0 with a remainder of 19.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 19, we end up with 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 633

Moving on to step 3:
If we divide 191 by 633, we get 0 and a remainder of 191.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 191, we end up with 191.
Include the next digit (3) from the dividend after 191, then repeat: 1913 / 633

Advancing to step 4:
1913 divided by 633 is 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 1899 away from 1913, we end up with 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 633

On to step 5:
When dividing 140 by 633, we get 0 with a remainder of 140.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
If we subtract 0 from 140, we get 140.
Include the next digit (1) from the dividend after 140, then repeat: 1401 / 633

On to step 6:
633 goes into 1401 2 times with a remainder of 135.
Put 2 as the next digit of the answer. 
Result so far: 302.0
Deduct 1266 from 1401 and we're left with 135.
Fetch the next digit (2) from the dividend, attach it to 135 and continue: 1352 / 633

Step 7:
When dividing 1352 by 633, we get 2 with a remainder of 86.
Put 2 as the next digit of the answer. 
Result so far: 3022.0
Deduct 1266 from 1352 and we're left with 86.
Grab the next digit (5) from the dividend, add it to 86, then carry on: 865 / 633

Let's proceed to step 8:
If we divide 865 by 633, we get 1 and a remainder of 232.
Write down 1 as next digit of the result. 
Result so far: 30221.0
Deduct 633 from 865 and we're left with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Going ahead to step 9:
2320 divided by 633 is 3 with a remainder of 421.
Record the quotient 3 as the next digit in the result. 
Result so far: 30221.3
Deduct 1899 from 2320 and we're left with 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

Step 10:
633 can be fit into 4210 6 times, resulting in a remainder of 412.
The number 6 becomes the next digit in our result. 
Result so far: 30221.36
The remainder is 412 after subtracting 3798 from 4210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Step 11:
When dividing 4120 by 633, we get 6 with a remainder of 322.
Record the quotient 6 as the next digit in the result. 
Result so far: 30221.366
Subtracting 3798 from 4120 leaves us with 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Our division results in 30221.366 with a remaining 0.0322.