We're dividing 797059 by 15 
We want to figure out the number of times 797059 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
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 15

Advancing to step 2:
15 can be fit into 79 5 times, resulting in a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 75 away from 79, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 15

Going ahead to step 3:
47 divided by 15 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 2 after subtracting 45 from 47.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 15

Going ahead to step 4:
The number 15 fits into 20 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 531.0
If we subtract 15 from 20, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 15

Going ahead to step 5:
When dividing 55 by 15, we get 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 5313.0
The remainder is 10 after subtracting 45 from 55.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 15

On to step 6:
15 can be fit into 109 7 times, resulting in a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 53137.0
Subtract 105 from 109 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
15 goes into 40 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 53137.2
Subtract 30 from 40 to 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.

Going ahead to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 53137.26
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.

Let's proceed to step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 53137.266
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.

Our division results in 53137.266 with a remaining 0.001.