We look at the division of 629209 by 15 
We want to divide 629209 by 15.

Advancing to step 1:
The number 15 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 15

Let's proceed to step 2:
62 divided by 15 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 60 from 62 to get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 15

Going ahead to step 3:
15 goes into 29 1 times with a remainder of 14.
The next digit of our result is 1. 
Result so far: 41.0
Subtract 15 from 29 to get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 15

Going ahead to step 4:
142 divided by 15 is 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 419.0
Deduct 135 from 142 and we're left with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 15

Step 5:
15 goes into 70 4 times with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 4194.0
If we take 60 away from 70, we end up with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 15

Let's proceed to step 6:
If we divide 109 by 15, we get 7 and a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 41947.0
If we take 105 away from 109, we end up 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.

Let's proceed to step 7:
15 goes into 40 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 41947.2
If we take 30 away from 40, we end up 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.

On to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 41947.26
Subtracting 90 from 100 leaves us 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.

Advancing to step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 41947.266
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.

After the division, we end up with 41947.266 and a remainder of 0.001.