31106 divided by 29 
The aim is to understand the frequency of 29 in 31106.

Let's proceed to step 1:
29 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 29

Advancing to step 2:
If we divide 31 by 29, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 29 away from 31, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 29

On to step 3:
When dividing 21 by 29, we get 0 with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 21, we get 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 29

Let's proceed to step 4:
29 goes into 210 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 107.0
The remainder is 7 after subtracting 203 from 210.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 29

Going ahead to step 5:
When dividing 76 by 29, we get 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 1072.0
Subtracting 58 from 76 leaves us 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.

Moving on to step 6:
The number 29 fits into 180 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 1072.6
Deduct 174 from 180 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
29 goes into 60 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 1072.62
If we take 58 away from 60, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
If we divide 20 by 29, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 1072.62
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 29, we get 6 with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 1072.6206
Deduct 174 from 200 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.

On to step 10:
If we divide 260 by 29, we get 8 and a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 1072.62068
If we subtract 232 from 260, we 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.

Moving on to step 11:
29 can be fit into 280 9 times, resulting in a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 1072.620689
The remainder is 19 after subtracting 261 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
29 goes into 190 6 times with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 1072.6206896
Subtracting 174 from 190 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
29 goes into 160 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1072.62068965
If we subtract 145 from 160, 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.

In conclusion, the division gives 1072.62068965 with a balance of 1.5e-08.