217598 ÷ 41 
The aim is to understand the frequency of 41 in 217598.

On to step 1:
41 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 41

Moving on to step 2:
21 divided by 41 is 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 41

Step 3:
If we divide 217 by 41, we get 5 and a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 205 from 217 and we're left with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 41

Moving on to step 4:
When dividing 125 by 41, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtracting 123 from 125 leaves us with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 41

On to step 5:
If we divide 29 by 41, we get 0 and a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 530.0
If we subtract 0 from 29, we get 29.
Include the next digit (8) from the dividend after 29, then repeat: 298 / 41

On to step 6:
41 can be fit into 298 7 times, resulting in a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 5307.0
Subtracting 287 from 298 leaves us 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 7:
110 divided by 41 is 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 5307.2
Subtracting 82 from 110 leaves us 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.

Going ahead to step 8:
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: 5307.26
Deduct 246 from 280 and we're left 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.

Going ahead to step 9:
340 divided by 41 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 5307.268
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
When dividing 120 by 41, we get 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 5307.2682
Deduct 82 from 120 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.

On to step 11:
41 goes into 380 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 5307.26829
Deduct 369 from 380 and we're left 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 12:
41 goes into 110 2 times with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 5307.268292
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.

Moving on to step 13:
When dividing 280 by 41, we get 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 5307.2682926
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.

Advancing to step 14:
The number 41 fits into 340 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 5307.26829268
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.

Our division results in 5307.26829268 with a remaining 1.2e-08.