440097 divided by 31 
The aim is to understand the frequency of 31 in 440097.

Going ahead to step 1:
When dividing 4 by 31, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 31

Going ahead to step 2:
When dividing 44 by 31, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 31 from 44 to get 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 31

Going ahead to step 3:
When dividing 130 by 31, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 124 from 130 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 31

Going ahead to step 4:
31 goes into 60 1 times with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 141.0
Deduct 31 from 60 and we're left with 29.
Grab the next digit (9) from the dividend, add it to 29, then carry on: 299 / 31

Let's proceed to step 5:
The number 31 fits into 299 9 times, leaving a remainder of 20.
Use 9 as the next digit of our solution. 
Result so far: 1419.0
Subtract 279 from 299 to get 20.
Fetch the next digit (7) from the dividend, attach it to 20 and continue: 207 / 31

Let's proceed to step 6:
31 goes into 207 6 times with a remainder of 21.
The next digit of our result is 6. 
Result so far: 14196.0
Subtract 186 from 207 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
When dividing 210 by 31, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 14196.6
Subtract 186 from 210 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
31 goes into 240 7 times with a remainder of 23.
The next digit of our result is 7. 
Result so far: 14196.67
Subtracting 217 from 240 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 9:
31 can be fit into 230 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 14196.677
If we take 217 away from 230, we end up 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.

After the division, we end up with 14196.677 and a remainder of 0.0013.