We divide 742575 by 31
The aim is to understand the frequency of 31 in 742575.

Advancing 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
If we take 0 away from 7, we end up with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 31

On to step 2:
31 goes into 74 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 62 away from 74, we end up with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 31

Moving on to step 3:
If we divide 122 by 31, we get 3 and a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtracting 93 from 122 leaves us with 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 31

Going ahead to step 4:
31 can be fit into 295 9 times, resulting in a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 239.0
The remainder is 16 after subtracting 279 from 295.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 31

Advancing to step 5:
31 can be fit into 167 5 times, resulting in a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 2395.0
If we subtract 155 from 167, we get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 31

Going ahead to step 6:
If we divide 125 by 31, we get 4 and a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 23954.0
Subtracting 124 from 125 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 31, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 23954.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 31 fits into 100 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 23954.03
If we take 93 away from 100, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
70 divided by 31 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 23954.032
Subtracting 62 from 70 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 31 fits into 80 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 23954.0322
Deduct 62 from 80 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 23954.0322 and a remainder of 0.00018.