We look at the division of 79106579 by 725 
We're looking to find how many times 725 goes into 79106579.

Step 1:
The number 725 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 725

Let's proceed to step 2:
79 divided by 725 is 0 with a remainder of 79.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 79 leaves us with 79.
Include the next digit (1) from the dividend after 79, then repeat: 791 / 725

Moving on to step 3:
The number 725 fits into 791 1 times, leaving a remainder of 66.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 725 from 791 leaves us with 66.
Fetch the next digit (0) from the dividend, attach it to 66 and continue: 660 / 725

On to step 4:
725 can be fit into 660 0 times, resulting in a remainder of 660.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 660, we get 660.
Append the next digit (6) from the dividend to 660 and continue with: 6606 / 725

Advancing to step 5:
6606 divided by 725 is 9 with a remainder of 81.
Put 9 as the next digit of the answer. 
Result so far: 109.0
The remainder is 81 after subtracting 6525 from 6606.
Bring next digit (5) of the dividend behind the 81 and repeat the process: 815 / 725

Let's proceed to step 6:
When dividing 815 by 725, we get 1 with a remainder of 90.
The next digit of our result is 1. 
Result so far: 1091.0
The remainder is 90 after subtracting 725 from 815.
Fetch the next digit (7) from the dividend, attach it to 90 and continue: 907 / 725

On to step 7:
When dividing 907 by 725, we get 1 with a remainder of 182.
Write down 1 as next digit of the result. 
Result so far: 10911.0
Deduct 725 from 907 and we're left with 182.
Include the next digit (9) from the dividend after 182, then repeat: 1829 / 725

On to step 8:
The number 725 fits into 1829 2 times, leaving a remainder of 379.
The number 2 becomes the next digit in our result. 
Result so far: 109112.0
The remainder is 379 after subtracting 1450 from 1829.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Advancing to step 9:
725 can be fit into 3790 5 times, resulting in a remainder of 165.
Record the quotient 5 as the next digit in the result. 
Result so far: 109112.5
Deduct 3625 from 3790 and we're left with 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Moving on to step 10:
725 can be fit into 1650 2 times, resulting in a remainder of 200.
Put 2 as the next digit of the answer. 
Result so far: 109112.52
If we take 1450 away from 1650, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

On to step 11:
When dividing 2000 by 725, we get 2 with a remainder of 550.
Use 2 as the next digit of our solution. 
Result so far: 109112.522
If we take 1450 away from 2000, we end up with 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

The final outcome is 109112.522, with a leftover of 0.055.