We're dividing 725041 by 31 
The aim is to understand the frequency of 31 in 725041.

Going ahead to step 1:
When dividing 7 by 31, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 31

Let's proceed to step 2:
31 goes into 72 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 62 from 72 leaves us with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 31

Advancing to step 3:
31 can be fit into 105 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 23.0
The remainder is 12 after subtracting 93 from 105.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 31

Going ahead to step 4:
31 can be fit into 120 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 233.0
If we subtract 93 from 120, we get 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 31

Advancing to step 5:
31 can be fit into 274 8 times, resulting in a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 2338.0
If we subtract 248 from 274, we get 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 31

Going ahead to step 6:
When dividing 261 by 31, we get 8 with a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 23388.0
Subtracting 248 from 261 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
When dividing 130 by 31, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 23388.4
The remainder is 6 after subtracting 124 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
31 can be fit into 60 1 times, resulting in a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 23388.41
Subtracting 31 from 60 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 9:
If we divide 290 by 31, we get 9 and a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 23388.419
Subtracting 279 from 290 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
31 can be fit into 110 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 23388.4193
If we take 93 away from 110, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 11:
170 divided by 31 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 23388.41935
If we take 155 away from 170, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 23388.419354
The remainder is 26 after subtracting 124 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 13:
If we divide 260 by 31, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 23388.4193548
If we subtract 248 from 260, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
31 can be fit into 120 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 23388.41935483
Deduct 93 from 120 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 23388.41935483 and a remainder of 2.7e-08.