897608 divided by 41 
The aim is to understand the frequency of 41 in 897608.

On to step 1:
41 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 41

Let's proceed to step 2:
41 goes into 89 2 times with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 7 after subtracting 82 from 89.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 41

Advancing to step 3:
When dividing 77 by 41, we get 1 with a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtracting 41 from 77 leaves us with 36.
Take the next digit (6) from the dividend and append it to 36, then repeat: 366 / 41

Step 4:
The number 41 fits into 366 8 times, leaving a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 218.0
If we take 328 away from 366, we end up with 38.
Append the next digit (0) from the dividend to 38 and continue with: 380 / 41

On to step 5:
When dividing 380 by 41, we get 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 2189.0
If we take 369 away from 380, we end up with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 41

Going ahead to step 6:
If we divide 118 by 41, we get 2 and a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 21892.0
Subtract 82 from 118 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 7:
41 can be fit into 360 8 times, resulting in a remainder of 32.
The next digit of our result is 8. 
Result so far: 21892.8
The remainder is 32 after subtracting 328 from 360.
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 8:
41 goes into 320 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 21892.87
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.

On to step 9:
When dividing 330 by 41, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 21892.878
If we take 328 away from 330, we end up 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 10:
41 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 21892.878
If we subtract 0 from 20, we 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.

Moving on to step 11:
41 can be fit into 200 4 times, resulting in a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 21892.87804
Deduct 164 from 200 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 12:
When dividing 360 by 41, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 21892.878048
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
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: 21892.8780487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 14:
41 can be fit into 330 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 21892.87804878
If we subtract 328 from 330, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 21892.87804878, with a leftover of 2e-09.