We look at the division of 633049 by 15 
Our goal is to divide 633049 by 15.

Step 1:
6 divided by 15 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 15

Moving on to step 2:
15 goes into 63 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 60 away from 63, we end up with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 15

Advancing to step 3:
33 divided by 15 is 2 with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtract 30 from 33 to get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 15

On to step 4:
If we divide 30 by 15, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 422.0
Subtract 30 from 30 to get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 15

Step 5:
If we divide 4 by 15, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 4220.0
If we subtract 0 from 4, we get 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 15

Going ahead to step 6:
49 divided by 15 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 42203.0
Deduct 45 from 49 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
15 goes into 40 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 42203.2
If we subtract 30 from 40, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 42203.26
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 42203.266
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 42203.266 with a remaining 0.001.