We're dividing 22354321 by 31 
The aim is to understand the frequency of 31 in 22354321.

Let's proceed to step 1:
2 divided by 31 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 31

Advancing to step 2:
31 goes into 22 0 times with a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 22, we end up with 22.
Bring next digit (3) of the dividend behind the 22 and repeat the process: 223 / 31

Going ahead to step 3:
31 can be fit into 223 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 6 after subtracting 217 from 223.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 31

Step 4:
65 divided by 31 is 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
If we subtract 62 from 65, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 31

Let's proceed to step 5:
If we divide 34 by 31, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 721.0
Subtracting 31 from 34 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 31

Going ahead to step 6:
The number 31 fits into 33 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 7211.0
Deduct 31 from 33 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 31

Going ahead to step 7:
If we divide 22 by 31, we get 0 and a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 72110.0
If we subtract 0 from 22, we get 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 31

Let's proceed to step 8:
31 can be fit into 221 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 721107.0
Subtract 217 from 221 to 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.

Let's proceed to step 9:
If we divide 40 by 31, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 721107.1
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
The number 31 fits into 90 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 721107.12
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
31 goes into 280 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 721107.129
Subtract 279 from 280 to 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 12:
31 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 721107.129
The remainder is 10 after subtracting 0 from 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 13:
31 goes into 100 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 721107.12903
Deduct 93 from 100 and we're left 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 14:
When dividing 70 by 31, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 721107.129032
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.

Let's proceed to step 15:
The number 31 fits into 80 2 times, leaving a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 721107.1290322
Subtract 62 from 80 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 721107.1290322 with a balance of 1.8e-07.