We look at the division of 81577186 by 725 
The aim is to understand the frequency of 725 in 81577186.

Step 1:
8 divided by 725 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 725

Step 2:
81 divided by 725 is 0 with a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 81 and we're left with 81.
Grab the next digit (5) from the dividend, add it to 81, then carry on: 815 / 725

Moving on to step 3:
When dividing 815 by 725, we get 1 with a remainder of 90.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 90 after subtracting 725 from 815.
Include the next digit (7) from the dividend after 90, then repeat: 907 / 725

On to step 4:
If we divide 907 by 725, we get 1 and a remainder of 182.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 725 from 907, we get 182.
Append the next digit (7) from the dividend to 182 and continue with: 1827 / 725

Advancing to step 5:
725 goes into 1827 2 times with a remainder of 377.
Write down 2 as next digit of the result. 
Result so far: 112.0
If we take 1450 away from 1827, we end up with 377.
Include the next digit (1) from the dividend after 377, then repeat: 3771 / 725

On to step 6:
If we divide 3771 by 725, we get 5 and a remainder of 146.
Use 5 as the next digit of our solution. 
Result so far: 1125.0
If we take 3625 away from 3771, we end up with 146.
Bring next digit (8) of the dividend behind the 146 and repeat the process: 1468 / 725

Let's proceed to step 7:
1468 divided by 725 is 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 11252.0
The remainder is 18 after subtracting 1450 from 1468.
Append the next digit (6) from the dividend to 18 and continue with: 186 / 725

Step 8:
If we divide 186 by 725, we get 0 and a remainder of 186.
Write down 0 as next digit of the result. 
Result so far: 112520.0
If we subtract 0 from 186, we get 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

On to step 9:
725 can be fit into 1860 2 times, resulting in a remainder of 410.
Put 2 as the next digit of the answer. 
Result so far: 112520.2
If we subtract 1450 from 1860, we get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Advancing to step 10:
725 goes into 4100 5 times with a remainder of 475.
The number 5 becomes the next digit in our result. 
Result so far: 112520.25
Subtract 3625 from 4100 to get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Moving on to step 11:
725 can be fit into 4750 6 times, resulting in a remainder of 400.
The next digit of our result is 6. 
Result so far: 112520.256
Subtracting 4350 from 4750 leaves us with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

On to step 12:
4000 divided by 725 is 5 with a remainder of 375.
Record the quotient 5 as the next digit in the result. 
Result so far: 112520.2565
Deduct 3625 from 4000 and we're left with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Moving on to step 13:
If we divide 3750 by 725, we get 5 and a remainder of 125.
The next digit of our result is 5. 
Result so far: 112520.25655
Subtract 3625 from 3750 to get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

The quotient of the division is 112520.25655, and the remainder is 0.000125.