We're dividing 779356 by 15 
Our goal is to divide 779356 by 15.

Moving on to step 1:
The number 15 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 15

Step 2:
15 can be fit into 77 5 times, resulting in a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 75 away from 77, we end up with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 15

Advancing to step 3:
15 goes into 29 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
Subtract 15 from 29 to get 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 15

Let's proceed to step 4:
The number 15 fits into 143 9 times, leaving a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 519.0
Subtract 135 from 143 to get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 15

Advancing to step 5:
15 goes into 85 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 5195.0
Subtracting 75 from 85 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 15

Step 6:
When dividing 106 by 15, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 51957.0
If we take 105 away from 106, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
The number 15 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 51957.0
Deduct 0 from 10 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.

Let's proceed to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 51957.06
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.

Moving 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: 51957.066
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.

The final result is 51957.066 with a remainder of 0.001.