19699643 ÷ 135 
The aim is to understand the frequency of 135 in 19699643.

Advancing to step 1:
The number 135 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 135

On to step 2:
When dividing 19 by 135, we get 0 with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 19, we end up with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 135

Let's proceed to step 3:
The number 135 fits into 196 1 times, leaving a remainder of 61.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 135 from 196 and we're left with 61.
Take the next digit (9) from the dividend and append it to 61, then repeat: 619 / 135

Step 4:
135 goes into 619 4 times with a remainder of 79.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 540 away from 619, we end up with 79.
Grab the next digit (9) from the dividend, add it to 79, then carry on: 799 / 135

Advancing to step 5:
If we divide 799 by 135, we get 5 and a remainder of 124.
Use 5 as the next digit of our solution. 
Result so far: 145.0
Deduct 675 from 799 and we're left with 124.
Include the next digit (6) from the dividend after 124, then repeat: 1246 / 135

Let's proceed to step 6:
135 goes into 1246 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 1459.0
If we take 1215 away from 1246, we end up with 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 135

Step 7:
135 can be fit into 314 2 times, resulting in a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 14592.0
The remainder is 44 after subtracting 270 from 314.
Take the next digit (3) from the dividend and append it to 44, then repeat: 443 / 135

Let's proceed to step 8:
The number 135 fits into 443 3 times, leaving a remainder of 38.
The next digit of our result is 3. 
Result so far: 145923.0
Subtracting 405 from 443 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
380 divided by 135 is 2 with a remainder of 110.
Use 2 as the next digit of our solution. 
Result so far: 145923.2
The remainder is 110 after subtracting 270 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 10:
When dividing 1100 by 135, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 145923.28
If we subtract 1080 from 1100, we 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.

Moving on to step 11:
When dividing 200 by 135, we get 1 with a remainder of 65.
The number 1 becomes the next digit in our result. 
Result so far: 145923.281
Deduct 135 from 200 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 12:
The number 135 fits into 650 4 times, leaving a remainder of 110.
Record the quotient 4 as the next digit in the result. 
Result so far: 145923.2814
The remainder is 110 after subtracting 540 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 13:
135 goes into 1100 8 times with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 145923.28148
Deduct 1080 from 1100 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
The number 135 fits into 200 1 times, leaving a remainder of 65.
The number 1 becomes the next digit in our result. 
Result so far: 145923.281481
Deduct 135 from 200 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 15:
650 divided by 135 is 4 with a remainder of 110.
The next digit of our result is 4. 
Result so far: 145923.2814814
Subtracting 540 from 650 leaves us with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Step 16:
135 goes into 1100 8 times with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 145923.28148148
Deduct 1080 from 1100 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 145923.28148148 with a remaining 2e-08.