532991 ÷ 41 
The aim is to understand the frequency of 41 in 532991.

On to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 41

Going ahead to step 2:
When dividing 53 by 41, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 41 away from 53, we end up with 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 41

On to step 3:
The number 41 fits into 122 2 times, leaving a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 82 from 122 leaves us with 40.
Fetch the next digit (9) from the dividend, attach it to 40 and continue: 409 / 41

Step 4:
The number 41 fits into 409 9 times, leaving a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 129.0
If we take 369 away from 409, we end up with 40.
Include the next digit (9) from the dividend after 40, then repeat: 409 / 41

Let's proceed to step 5:
41 can be fit into 409 9 times, resulting in a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 1299.0
Subtract 369 from 409 to get 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 41

Step 6:
The number 41 fits into 401 9 times, leaving a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 12999.0
The remainder is 32 after subtracting 369 from 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
41 can be fit into 320 7 times, resulting in a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 12999.7
If we subtract 287 from 320, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 8:
The number 41 fits into 330 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 12999.78
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
If we divide 20 by 41, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 12999.78
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
41 goes into 200 4 times with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 12999.7804
Subtract 164 from 200 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
360 divided by 41 is 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 12999.78048
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
When dividing 320 by 41, we get 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 12999.780487
Subtract 287 from 320 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 13:
If we divide 330 by 41, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 12999.7804878
Deduct 328 from 330 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
If we divide 20 by 41, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 12999.7804878
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 12999.7804878 with a remaining 2e-08.