We divide 13065121 by 311
The aim is to understand the frequency of 311 in 13065121.

Let's proceed to step 1:
When dividing 1 by 311, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 311

Let's proceed to step 2:
If we divide 13 by 311, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 311

Step 3:
If we divide 130 by 311, we get 0 and a remainder of 130.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 130, we end up with 130.
Include the next digit (6) from the dividend after 130, then repeat: 1306 / 311

Step 4:
311 can be fit into 1306 4 times, resulting in a remainder of 62.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 1244 from 1306 to get 62.
Bring next digit (5) of the dividend behind the 62 and repeat the process: 625 / 311

Going ahead to step 5:
625 divided by 311 is 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtracting 622 from 625 leaves us with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 311

Going ahead to step 6:
When dividing 31 by 311, we get 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 420.0
If we take 0 away from 31, we end up with 31.
Grab the next digit (2) from the dividend, add it to 31, then carry on: 312 / 311

On to step 7:
311 goes into 312 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 4201.0
If we subtract 311 from 312, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 311

Advancing to step 8:
311 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 42010.0
If we take 0 away from 11, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
311 can be fit into 110 0 times, resulting in a remainder of 110.
Write down 0 as next digit of the result. 
Result so far: 42010.0
Subtract 0 from 110 to get 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Going ahead to step 10:
The number 311 fits into 1100 3 times, leaving a remainder of 167.
The next digit of our result is 3. 
Result so far: 42010.03
If we take 933 away from 1100, we end up with 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1670, and continue the process.

On to step 11:
The number 311 fits into 1670 5 times, leaving a remainder of 115.
Put 5 as the next digit of the answer. 
Result so far: 42010.035
Subtract 1555 from 1670 to get 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Moving on to step 12:
The number 311 fits into 1150 3 times, leaving a remainder of 217.
The next digit of our result is 3. 
Result so far: 42010.0353
If we take 933 away from 1150, we end up with 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

On to step 13:
2170 divided by 311 is 6 with a remainder of 304.
Record the quotient 6 as the next digit in the result. 
Result so far: 42010.03536
If we take 1866 away from 2170, we end up with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 14:
The number 311 fits into 3040 9 times, leaving a remainder of 241.
The next digit of our result is 9. 
Result so far: 42010.035369
If we subtract 2799 from 3040, we get 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

Going ahead to step 15:
2410 divided by 311 is 7 with a remainder of 233.
Use 7 as the next digit of our solution. 
Result so far: 42010.0353697
Subtract 2177 from 2410 to get 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Step 16:
311 can be fit into 2330 7 times, resulting in a remainder of 153.
Write down 7 as next digit of the result. 
Result so far: 42010.03536977
If we take 2177 away from 2330, we end up with 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

The final outcome is 42010.03536977, with a leftover of 1.53e-07.