8693005 ÷ 725 
The aim is to understand the frequency of 725 in 8693005.

On to step 1:
If we divide 8 by 725, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 725

On to step 2:
725 goes into 86 0 times with a remainder of 86.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 86 and we're left with 86.
Include the next digit (9) from the dividend after 86, then repeat: 869 / 725

Let's proceed to step 3:
869 divided by 725 is 1 with a remainder of 144.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 144 after subtracting 725 from 869.
Append the next digit (3) from the dividend to 144 and continue with: 1443 / 725

Let's proceed to step 4:
725 can be fit into 1443 1 times, resulting in a remainder of 718.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 725 from 1443 to get 718.
Take the next digit (0) from the dividend and append it to 718, then repeat: 7180 / 725

On to step 5:
If we divide 7180 by 725, we get 9 and a remainder of 655.
Use 9 as the next digit of our solution. 
Result so far: 119.0
Subtracting 6525 from 7180 leaves us with 655.
Grab the next digit (0) from the dividend, add it to 655, then carry on: 6550 / 725

On to step 6:
725 goes into 6550 9 times with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 1199.0
The remainder is 25 after subtracting 6525 from 6550.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 725

On to step 7:
The number 725 fits into 255 0 times, leaving a remainder of 255.
The next digit of our result is 0. 
Result so far: 11990.0
Subtract 0 from 255 to get 255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Advancing to step 8:
725 can be fit into 2550 3 times, resulting in a remainder of 375.
Write down 3 as next digit of the result. 
Result so far: 11990.3
Deduct 2175 from 2550 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.

Going ahead to step 9:
The number 725 fits into 3750 5 times, leaving a remainder of 125.
Put 5 as the next digit of the answer. 
Result so far: 11990.35
If we subtract 3625 from 3750, we 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.

Step 10:
725 goes into 1250 1 times with a remainder of 525.
The next digit of our result is 1. 
Result so far: 11990.351
Subtract 725 from 1250 to get 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Step 11:
When dividing 5250 by 725, we get 7 with a remainder of 175.
The number 7 becomes the next digit in our result. 
Result so far: 11990.3517
Subtract 5075 from 5250 to get 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Advancing to step 12:
When dividing 1750 by 725, we get 2 with a remainder of 300.
The next digit of our result is 2. 
Result so far: 11990.35172
If we take 1450 away from 1750, we end up with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Advancing to step 13:
725 can be fit into 3000 4 times, resulting in a remainder of 100.
Write down 4 as next digit of the result. 
Result so far: 11990.351724
Subtracting 2900 from 3000 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 14:
1000 divided by 725 is 1 with a remainder of 275.
Use 1 as the next digit of our solution. 
Result so far: 11990.3517241
Deduct 725 from 1000 and we're left with 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Step 15:
If we divide 2750 by 725, we get 3 and a remainder of 575.
The next digit of our result is 3. 
Result so far: 11990.35172413
Subtract 2175 from 2750 to get 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

After the division, we end up with 11990.35172413 and a remainder of 5.75e-07.