We look at the division of 870599 by 41 
The aim is to understand the frequency of 41 in 870599.

Advancing to step 1:
If we divide 8 by 41, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 41

Let's proceed to step 2:
41 can be fit into 87 2 times, resulting in a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 82 from 87 to get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 41

Advancing to step 3:
50 divided by 41 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Deduct 41 from 50 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 41

Moving on to step 4:
The number 41 fits into 95 2 times, leaving a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 212.0
Subtract 82 from 95 to get 13.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 41

Going ahead to step 5:
139 divided by 41 is 3 with a remainder of 16.
The next digit of our result is 3. 
Result so far: 2123.0
Subtract 123 from 139 to get 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 41

Let's proceed to step 6:
41 goes into 169 4 times with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 21234.0
Subtract 164 from 169 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 41 fits into 50 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 21234.1
The remainder is 9 after subtracting 41 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
If we divide 90 by 41, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 21234.12
Deduct 82 from 90 and we're left 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.

Moving on to step 9:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 21234.121
If we take 41 away from 80, we end up 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 10:
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: 21234.1219
If we subtract 369 from 390, we 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.

Step 11:
41 goes into 210 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21234.12195
If we subtract 205 from 210, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
41 goes into 50 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 21234.121951
If we subtract 41 from 50, we get 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 13:
90 divided by 41 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 21234.1219512
Deduct 82 from 90 and we're left 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.

Going ahead to step 14:
41 goes into 80 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 21234.12195121
Deduct 41 from 80 and we're left 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.

The final result is 21234.12195121 with a remainder of 3.9e-08.