We're dividing 313033 by 41 
The aim is to understand the frequency of 41 in 313033.

On to step 1:
When dividing 3 by 41, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
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 / 41

Moving on to step 2:
41 goes into 31 0 times with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 41

Going ahead to step 3:
41 goes into 313 7 times with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 287 from 313 and we're left with 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 41

On to step 4:
41 goes into 260 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 76.0
Deduct 246 from 260 and we're left with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 41

Step 5:
If we divide 143 by 41, we get 3 and a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 763.0
Subtracting 123 from 143 leaves us with 20.
Append the next digit (3) from the dividend to 20 and continue with: 203 / 41

Advancing to step 6:
When dividing 203 by 41, we get 4 with a remainder of 39.
Record the quotient 4 as the next digit in the result. 
Result so far: 7634.0
Subtract 164 from 203 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
If we divide 390 by 41, we get 9 and a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 7634.9
Subtract 369 from 390 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
The number 41 fits into 210 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 7634.95
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
50 divided by 41 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 7634.951
Subtracting 41 from 50 leaves us 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.

Step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 7634.9512
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
The number 41 fits into 80 1 times, leaving a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 7634.95121
Subtracting 41 from 80 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 12:
41 can be fit into 390 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 7634.951219
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 13:
The number 41 fits into 210 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7634.9512195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
50 divided by 41 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 7634.95121951
If we take 41 away from 50, 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.

The final outcome is 7634.95121951, with a leftover of 9e-09.