4516 divided by 41 
The aim is to understand the frequency of 41 in 4516.

Going ahead to step 1:
The number 41 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 41

Let's proceed to step 2:
When dividing 45 by 41, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 41 from 45 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 41

Step 3:
41 goes into 41 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 41 from 41 to get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 41

On to step 4:
41 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 110.0
The remainder is 6 after subtracting 0 from 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 5:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 110.1
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 6:
When dividing 190 by 41, we get 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 110.14
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
The number 41 fits into 260 6 times, leaving a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 110.146
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.

Advancing to step 8:
When dividing 140 by 41, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 110.1463
Subtracting 123 from 140 leaves us with 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:
41 goes into 170 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 110.14634
The remainder is 6 after subtracting 164 from 170.
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:
41 goes into 60 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 110.146341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 11:
41 goes into 190 4 times with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 110.1463414
Subtracting 164 from 190 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.

On to step 12:
When dividing 260 by 41, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 110.14634146
Deduct 246 from 260 and we're left 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.

Our division results in 110.14634146 with a remaining 1.4e-08.