560221 ÷ 41 
The aim is to understand the frequency of 41 in 560221.

Advancing to step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 41

Moving on to step 2:
56 divided by 41 is 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 41 from 56 to get 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 41

Moving on to step 3:
41 goes into 150 3 times with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 123 away from 150, we end up with 27.
Fetch the next digit (2) from the dividend, attach it to 27 and continue: 272 / 41

Advancing to step 4:
272 divided by 41 is 6 with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
If we take 246 away from 272, we end up with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 41

On to step 5:
262 divided by 41 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 1366.0
Subtract 246 from 262 to get 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 41

On to step 6:
161 divided by 41 is 3 with a remainder of 38.
The number 3 becomes the next digit in our result. 
Result so far: 13663.0
Deduct 123 from 161 and we're left 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.

Moving on to step 7:
When dividing 380 by 41, we get 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 13663.9
If we take 369 away from 380, 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.

Step 8:
The number 41 fits into 110 2 times, leaving a remainder of 28.
The next digit of our result is 2. 
Result so far: 13663.92
Deduct 82 from 110 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
If we divide 280 by 41, we get 6 and a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 13663.926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 10:
The number 41 fits into 340 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 13663.9268
If we subtract 328 from 340, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 13663.92682
If we take 82 away from 120, we end up 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 12:
41 goes into 380 9 times with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 13663.926829
If we take 369 away from 380, 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.

On to step 13:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 13663.9268292
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 14:
41 can be fit into 280 6 times, resulting in a remainder of 34.
The next digit of our result is 6. 
Result so far: 13663.92682926
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 13663.92682926 with a remainder of 3.4e-08.