767782 ÷ 15 
We want to figure out the number of times 767782 can be divided by 15.

Advancing to step 1:
The number 15 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 15

On 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.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 15

Let's proceed to step 3:
15 can be fit into 17 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Deduct 15 from 17 and we're left with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 15

Step 4:
15 can be fit into 27 1 times, resulting in a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 511.0
Subtracting 15 from 27 leaves us with 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 15

Advancing to step 5:
15 goes into 128 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 5118.0
Subtracting 120 from 128 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 15

Advancing to step 6:
The number 15 fits into 82 5 times, leaving a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 51185.0
Subtract 75 from 82 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 51185.4
If we subtract 60 from 70, we 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.

On to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 51185.46
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.

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: 51185.466
If we subtract 90 from 100, we 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.

In conclusion, the division gives 51185.466 with a balance of 0.001.