We look at the division of 86569497 by 779 
We want to figure out the number of times 86569497 can be divided by 779.

Let's proceed to step 1:
The number 779 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 779

Let's proceed to step 2:
If we divide 86 by 779, we get 0 and a remainder of 86.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 86, we end up with 86.
Grab the next digit (5) from the dividend, add it to 86, then carry on: 865 / 779

Going ahead to step 3:
When dividing 865 by 779, we get 1 with a remainder of 86.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 779 away from 865, we end up with 86.
Take the next digit (6) from the dividend and append it to 86, then repeat: 866 / 779

Step 4:
If we divide 866 by 779, we get 1 and a remainder of 87.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 779 from 866 leaves us with 87.
Take the next digit (9) from the dividend and append it to 87, then repeat: 879 / 779

On to step 5:
The number 779 fits into 879 1 times, leaving a remainder of 100.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
If we subtract 779 from 879, we get 100.
Include the next digit (4) from the dividend after 100, then repeat: 1004 / 779

Moving on to step 6:
1004 divided by 779 is 1 with a remainder of 225.
Put 1 as the next digit of the answer. 
Result so far: 1111.0
If we subtract 779 from 1004, we get 225.
Grab the next digit (9) from the dividend, add it to 225, then carry on: 2259 / 779

Moving on to step 7:
If we divide 2259 by 779, we get 2 and a remainder of 701.
Use 2 as the next digit of our solution. 
Result so far: 11112.0
If we take 1558 away from 2259, we end up with 701.
Fetch the next digit (7) from the dividend, attach it to 701 and continue: 7017 / 779

Going ahead to step 8:
7017 divided by 779 is 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 111129.0
The remainder is 6 after subtracting 7011 from 7017.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 779, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 111129.0
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
600 divided by 779 is 0 with a remainder of 600.
The next digit of our result is 0. 
Result so far: 111129.0
The remainder is 600 after subtracting 0 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

The quotient of the division is 111129.0, and the remainder is 0.6.