40122145 ÷ 269 
The aim is to understand the frequency of 269 in 40122145.

Advancing to step 1:
269 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 269

Advancing to step 2:
The number 269 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Take the next digit (1) from the dividend and append it to 40, then repeat: 401 / 269

Going ahead to step 3:
401 divided by 269 is 1 with a remainder of 132.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 269 from 401 and we're left with 132.
Include the next digit (2) from the dividend after 132, then repeat: 1322 / 269

Moving on to step 4:
When dividing 1322 by 269, we get 4 with a remainder of 246.
The next digit of our result is 4. 
Result so far: 14.0
The remainder is 246 after subtracting 1076 from 1322.
Bring next digit (2) of the dividend behind the 246 and repeat the process: 2462 / 269

Advancing to step 5:
269 goes into 2462 9 times with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 149.0
Subtract 2421 from 2462 to get 41.
Bring next digit (1) of the dividend behind the 41 and repeat the process: 411 / 269

Moving on to step 6:
269 goes into 411 1 times with a remainder of 142.
The next digit of our result is 1. 
Result so far: 1491.0
The remainder is 142 after subtracting 269 from 411.
Take the next digit (4) from the dividend and append it to 142, then repeat: 1424 / 269

Advancing to step 7:
If we divide 1424 by 269, we get 5 and a remainder of 79.
The number 5 becomes the next digit in our result. 
Result so far: 14915.0
Subtract 1345 from 1424 to get 79.
Append the next digit (5) from the dividend to 79 and continue with: 795 / 269

Step 8:
If we divide 795 by 269, we get 2 and a remainder of 257.
Write down 2 as next digit of the result. 
Result so far: 149152.0
Subtracting 538 from 795 leaves us with 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

On to step 9:
If we divide 2570 by 269, we get 9 and a remainder of 149.
Write down 9 as next digit of the result. 
Result so far: 149152.9
Deduct 2421 from 2570 and we're left with 149.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1490, and continue the process.

Moving on to step 10:
When dividing 1490 by 269, we get 5 with a remainder of 145.
Record the quotient 5 as the next digit in the result. 
Result so far: 149152.95
The remainder is 145 after subtracting 1345 from 1490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 11:
The number 269 fits into 1450 5 times, leaving a remainder of 105.
The number 5 becomes the next digit in our result. 
Result so far: 149152.955
Subtracting 1345 from 1450 leaves us with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Our division results in 149152.955 with a remaining 0.0105.