We look at the division of 765127 by 15 
Our goal is to divide 765127 by 15.

On to step 1:
7 divided by 15 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 15

Going ahead to step 2:
15 goes into 76 5 times with a remainder of 1.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 75 from 76, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 15

Let's proceed to step 3:
The number 15 fits into 15 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 51.0
Subtracting 15 from 15 leaves us with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 15

Let's proceed to step 4:
15 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 510.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 15

Let's proceed to step 5:
When dividing 12 by 15, we get 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 5100.0
Subtracting 0 from 12 leaves us with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 15

Let's proceed to step 6:
127 divided by 15 is 8 with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 51008.0
Subtracting 120 from 127 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 51008.4
Subtract 60 from 70 to 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.

Step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 51008.46
If we take 90 away from 100, 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 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 51008.466
The remainder is 10 after subtracting 90 from 100.
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 51008.466 and a remainder of 0.001.