We divide 626876 by 15
We want to divide 626876 by 15.

On to step 1:
The number 15 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 15

Step 2:
15 can be fit into 62 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 60 from 62 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 15

On to step 3:
26 divided by 15 is 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Deduct 15 from 26 and we're left with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 15

Let's proceed to step 4:
15 can be fit into 118 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 417.0
Subtracting 105 from 118 leaves us with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 15

Advancing to step 5:
The number 15 fits into 137 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 4179.0
Subtract 135 from 137 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 15

Moving on to step 6:
15 goes into 26 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 41791.0
The remainder is 11 after subtracting 15 from 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 15, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 41791.7
If we take 105 away from 110, we end up 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.

Moving on to step 8:
If we divide 50 by 15, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 41791.73
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.

Going ahead to step 9:
50 divided by 15 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 41791.733
Deduct 45 from 50 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.

The final outcome is 41791.733, with a leftover of 0.0005.