14121 ÷ 29 
The aim is to understand the frequency of 29 in 14121.

Advancing to step 1:
If we divide 1 by 29, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 29

On to step 2:
The number 29 fits into 14 0 times, leaving a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 29

On to step 3:
When dividing 141 by 29, we get 4 with a remainder of 25.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 116 from 141 and we're left with 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 29

Going ahead to step 4:
29 goes into 252 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.0
If we take 232 away from 252, we end up with 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 29

On to step 5:
The number 29 fits into 201 6 times, leaving a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 486.0
If we subtract 174 from 201, 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.

Advancing to step 6:
If we divide 270 by 29, we get 9 and a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 486.9
If we take 261 away from 270, we end up with 9.
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 7:
29 can be fit into 90 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 486.93
The remainder is 3 after subtracting 87 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
29 goes into 30 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 486.931
Deduct 29 from 30 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
The number 29 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 486.931
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.

Going ahead to step 10:
The number 29 fits into 100 3 times, leaving a remainder of 13.
The next digit of our result is 3. 
Result so far: 486.93103
If we subtract 87 from 100, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 11:
The number 29 fits into 130 4 times, leaving a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 486.931034
Deduct 116 from 130 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
140 divided by 29 is 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 486.9310344
Subtract 116 from 140 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.

After the division, we end up with 486.9310344 and a remainder of 2.4e-07.