We look at the division of 437445 by 31 
The aim is to understand the frequency of 31 in 437445.

Step 1:
31 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 31

Advancing to step 2:
31 can be fit into 43 1 times, resulting in a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 12 after subtracting 31 from 43.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 31

Going ahead to step 3:
When dividing 127 by 31, we get 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtracting 124 from 127 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 31

On to step 4:
When dividing 34 by 31, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 141.0
Subtracting 31 from 34 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 31

Let's proceed to step 5:
The number 31 fits into 34 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1411.0
The remainder is 3 after subtracting 31 from 34.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 31

Going ahead to step 6:
35 divided by 31 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 14111.0
If we subtract 31 from 35, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
31 goes into 40 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 14111.1
The remainder is 9 after subtracting 31 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
When dividing 90 by 31, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 14111.12
Deduct 62 from 90 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
When dividing 280 by 31, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 14111.129
If we subtract 279 from 280, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
31 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 14111.129
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
When dividing 100 by 31, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 14111.12903
The remainder is 7 after subtracting 93 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
31 can be fit into 70 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 14111.129032
Subtract 62 from 70 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
If we divide 80 by 31, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 14111.1290322
If we take 62 away from 80, we end up 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.

The final outcome is 14111.1290322, with a leftover of 1.8e-07.