We're dividing 768767 by 15 
Our goal is to divide 768767 by 15.

Moving on to step 1:
When dividing 7 by 15, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 15

Advancing to step 2:
The number 15 fits into 76 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 75 from 76, we get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 15

Let's proceed to step 3:
The number 15 fits into 18 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 51.0
Deduct 15 from 18 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 15

Advancing to step 4:
37 divided by 15 is 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 512.0
The remainder is 7 after subtracting 30 from 37.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 15

Going ahead to step 5:
15 can be fit into 76 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5125.0
If we subtract 75 from 76, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 15

Moving on to step 6:
When dividing 17 by 15, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 51251.0
If we subtract 15 from 17, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 15 is 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 51251.1
Subtracting 15 from 20 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.

Let's proceed to step 8:
15 goes into 50 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 51251.13
If we take 45 away from 50, 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.

Going ahead to step 9:
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: 51251.133
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 final outcome is 51251.133, with a leftover of 0.0005.