We're dividing 727669 by 31 
The aim is to understand the frequency of 31 in 727669.

Step 1:
7 divided by 31 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 31

Going ahead to step 2:
31 goes into 72 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 62 from 72, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 31

Advancing to step 3:
31 goes into 107 3 times with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 23.0
If we subtract 93 from 107, we get 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 31

Advancing to step 4:
The number 31 fits into 146 4 times, leaving a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 234.0
The remainder is 22 after subtracting 124 from 146.
Append the next digit (6) from the dividend to 22 and continue with: 226 / 31

Advancing to step 5:
226 divided by 31 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 2347.0
If we subtract 217 from 226, we get 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 31

Going ahead to step 6:
31 can be fit into 99 3 times, resulting in a remainder of 6.
The next digit of our result is 3. 
Result so far: 23473.0
The remainder is 6 after subtracting 93 from 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
31 goes into 60 1 times with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 23473.1
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.

Moving on to step 8:
290 divided by 31 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 23473.19
Deduct 279 from 290 and we're left 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.

On to step 9:
31 goes into 110 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 23473.193
Subtract 93 from 110 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 10:
The number 31 fits into 170 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 23473.1935
If we subtract 155 from 170, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
When dividing 150 by 31, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 23473.19354
Deduct 124 from 150 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
If we divide 260 by 31, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 23473.193548
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 13:
The number 31 fits into 120 3 times, leaving a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 23473.1935483
If we subtract 93 from 120, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 14:
If we divide 270 by 31, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 23473.19354838
The remainder is 22 after subtracting 248 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 23473.19354838 with a balance of 2.2e-08.