We're dividing 17635 by 14 
The aim is to understand the frequency of 14 in 17635.

Let's proceed to step 1:
1 divided by 14 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 14

Moving on to step 2:
17 divided by 14 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
If we take 14 away from 17, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 14

Let's proceed to step 3:
When dividing 36 by 14, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 28 from 36 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 14

Moving on to step 4:
14 can be fit into 83 5 times, resulting in a remainder of 13.
Put 5 as the next digit of the answer. 
Result so far: 125.0
If we take 70 away from 83, we end up with 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 14

Going ahead to step 5:
135 divided by 14 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 1259.0
If we take 126 away from 135, 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.

Advancing to step 6:
The number 14 fits into 90 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 1259.6
Subtract 84 from 90 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
If we divide 60 by 14, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1259.64
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
If we divide 40 by 14, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 1259.642
If we subtract 28 from 40, 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.

On to step 9:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 1259.6428
Subtracting 112 from 120 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.

On to step 10:
When dividing 80 by 14, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 1259.64285
If we subtract 70 from 80, 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 11:
If we divide 100 by 14, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 1259.642857
Subtracting 98 from 100 leaves us 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.

Step 12:
If we divide 20 by 14, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 1259.6428571
Deduct 14 from 20 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.

Advancing to step 13:
14 goes into 60 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 1259.64285714
If we subtract 56 from 60, we 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.

In conclusion, the division gives 1259.64285714 with a balance of 4e-09.