814258 divided by 41 
The aim is to understand the frequency of 41 in 814258.

On to step 1:
41 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 41

Let's proceed to step 2:
The number 41 fits into 81 1 times, leaving a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 41 from 81 and we're left with 40.
Fetch the next digit (4) from the dividend, attach it to 40 and continue: 404 / 41

On to step 3:
41 goes into 404 9 times with a remainder of 35.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtracting 369 from 404 leaves us with 35.
Bring next digit (2) of the dividend behind the 35 and repeat the process: 352 / 41

Let's proceed to step 4:
When dividing 352 by 41, we get 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 198.0
If we take 328 away from 352, we end up with 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 41

Moving on to step 5:
The number 41 fits into 245 5 times, leaving a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 1985.0
Subtracting 205 from 245 leaves us with 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 41

Advancing to step 6:
The number 41 fits into 408 9 times, leaving a remainder of 39.
Use 9 as the next digit of our solution. 
Result so far: 19859.0
The remainder is 39 after subtracting 369 from 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 7:
When dividing 390 by 41, we get 9 with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 19859.9
Deduct 369 from 390 and we're left 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.

Advancing to step 8:
41 goes into 210 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 19859.95
Deduct 205 from 210 and we're left 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:
When dividing 50 by 41, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 19859.951
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.

On to step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 19859.9512
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
If we divide 80 by 41, we get 1 and a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 19859.95121
If we subtract 41 from 80, we 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 12:
When dividing 390 by 41, we get 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 19859.951219
Deduct 369 from 390 and we're left 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.

Moving on to step 13:
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: 19859.9512195
Deduct 205 from 210 and we're left 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.

Advancing to step 14:
50 divided by 41 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 19859.95121951
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 19859.95121951, with a leftover of 9e-09.