628904 ÷ 15 
Our goal is to divide 628904 by 15.

Advancing to step 1:
15 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 15

On to step 2:
If we divide 62 by 15, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 60 away from 62, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 15

Advancing to step 3:
28 divided by 15 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 41.0
If we subtract 15 from 28, we get 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 15

Moving on to step 4:
If we divide 139 by 15, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 419.0
Subtract 135 from 139 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 15

Step 5:
15 goes into 40 2 times with a remainder of 10.
The next digit of our result is 2. 
Result so far: 4192.0
If we subtract 30 from 40, we get 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 15

Moving on to step 6:
If we divide 104 by 15, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 41926.0
Deduct 90 from 104 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
15 goes into 140 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 41926.9
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 41926.93
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 41926.933
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 41926.933, and the remainder is 0.0005.