Let's divide 633117 by 15
Our goal is to divide 633117 by 15.

On to step 1:
The number 15 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 15

Advancing to step 2:
If we divide 63 by 15, we get 4 and a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 60 from 63 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 15

On to step 3:
15 can be fit into 33 2 times, resulting in a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Subtract 30 from 33 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 15

Advancing to step 4:
31 divided by 15 is 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 422.0
Deduct 30 from 31 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 15

Going ahead to step 5:
The number 15 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 4220.0
If we subtract 0 from 11, we get 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 15

Moving on to step 6:
15 goes into 117 7 times with a remainder of 12.
The next digit of our result is 7. 
Result so far: 42207.0
If we take 105 away from 117, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
The number 15 fits into 120 8 times, leaving a remainder of 0.
The next digit of our result is 8. 
Result so far: 42207.8
Deduct 120 from 120 and we're left 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.

Advancing to step 8:
15 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 42207.8
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 15 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 42207.8
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 42207.8, and the remainder is 0.0.