Let's divide 159516 by 41
The aim is to understand the frequency of 41 in 159516.

Advancing to step 1:
If we divide 1 by 41, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 41

On to step 2:
The number 41 fits into 15 0 times, leaving a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 41

Let's proceed to step 3:
41 goes into 159 3 times with a remainder of 36.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 36 after subtracting 123 from 159.
Bring next digit (5) of the dividend behind the 36 and repeat the process: 365 / 41

On to step 4:
41 can be fit into 365 8 times, resulting in a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
If we take 328 away from 365, we end up with 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 41

On to step 5:
371 divided by 41 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 389.0
If we take 369 away from 371, we end up with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 41

Let's proceed to step 6:
If we divide 26 by 41, we get 0 and a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 3890.0
Subtracting 0 from 26 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
41 can be fit into 260 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 3890.6
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
If we divide 140 by 41, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 3890.63
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
When dividing 170 by 41, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 3890.634
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
If we divide 60 by 41, we get 1 and a remainder of 19.
The next digit of our result is 1. 
Result so far: 3890.6341
The remainder is 19 after subtracting 41 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 3890.63414
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
If we divide 260 by 41, we get 6 and a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 3890.634146
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
If we divide 140 by 41, we get 3 and a remainder of 17.
The next digit of our result is 3. 
Result so far: 3890.6341463
Subtract 123 from 140 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 14:
When dividing 170 by 41, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 3890.63414634
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 3890.63414634 with a remaining 6e-09.