We're dividing 765721 by 15 
Our goal is to divide 765721 by 15.

Moving on to step 1:
The number 15 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 15

Advancing to step 2:
When dividing 76 by 15, we get 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 75 from 76 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 15

Moving on to step 3:
15 divided by 15 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 15 away from 15, we end up with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 15

Going ahead to step 4:
15 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 510.0
Subtract 0 from 7 to get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 15

Going ahead to step 5:
The number 15 fits into 72 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 5104.0
If we subtract 60 from 72, we get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 15

Moving on to step 6:
When dividing 121 by 15, we get 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 51048.0
Subtract 120 from 121 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
15 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 51048.0
The remainder is 10 after subtracting 0 from 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 goes into 100 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 51048.06
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.

On to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 51048.066
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.

The final outcome is 51048.066, with a leftover of 0.001.