We divide 779666 by 15
We're looking to find how many times 15 goes into 779666.

Moving on to step 1:
15 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 15

Moving on to step 2:
15 can be fit into 77 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 75 from 77 and we're left with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 15

Step 3:
29 divided by 15 is 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we take 15 away from 29, we end up with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 15

Going ahead to step 4:
146 divided by 15 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 519.0
If we take 135 away from 146, we end up with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 15

Advancing to step 5:
When dividing 116 by 15, we get 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 5197.0
The remainder is 11 after subtracting 105 from 116.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 15

Advancing to step 6:
The number 15 fits into 116 7 times, leaving a remainder of 11.
The next digit of our result is 7. 
Result so far: 51977.0
If we subtract 105 from 116, we get 11.
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:
110 divided by 15 is 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 51977.7
Subtracting 105 from 110 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 can be fit into 50 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 51977.73
Subtract 45 from 50 to get 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 9:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 51977.733
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.

After the division, we end up with 51977.733 and a remainder of 0.0005.