31409655 ÷ 135 
The aim is to understand the frequency of 135 in 31409655.

Going ahead to step 1:
If we divide 3 by 135, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 135

On to step 2:
135 can be fit into 31 0 times, resulting in a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 135

Advancing to step 3:
The number 135 fits into 314 2 times, leaving a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 270 from 314 and we're left with 44.
Fetch the next digit (0) from the dividend, attach it to 44 and continue: 440 / 135

Moving on to step 4:
135 goes into 440 3 times with a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Deduct 405 from 440 and we're left with 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 135

Going ahead to step 5:
The number 135 fits into 359 2 times, leaving a remainder of 89.
The number 2 becomes the next digit in our result. 
Result so far: 232.0
The remainder is 89 after subtracting 270 from 359.
Fetch the next digit (6) from the dividend, attach it to 89 and continue: 896 / 135

Going ahead to step 6:
The number 135 fits into 896 6 times, leaving a remainder of 86.
Record the quotient 6 as the next digit in the result. 
Result so far: 2326.0
The remainder is 86 after subtracting 810 from 896.
Take the next digit (5) from the dividend and append it to 86, then repeat: 865 / 135

Step 7:
135 goes into 865 6 times with a remainder of 55.
The next digit of our result is 6. 
Result so far: 23266.0
Subtract 810 from 865 to get 55.
Take the next digit (5) from the dividend and append it to 55, then repeat: 555 / 135

Let's proceed to step 8:
When dividing 555 by 135, we get 4 with a remainder of 15.
The next digit of our result is 4. 
Result so far: 232664.0
If we subtract 540 from 555, 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.

Going ahead to step 9:
The number 135 fits into 150 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 232664.1
Subtract 135 from 150 to 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 10:
135 can be fit into 150 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 232664.11
Subtract 135 from 150 to 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.

The quotient of the division is 232664.11, and the remainder is 0.015.