Let's divide 45961 by 11
The aim is to understand the frequency of 11 in 45961.

Moving on to step 1:
11 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 11

On to step 2:
The number 11 fits into 45 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 44 from 45, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 11

Advancing to step 3:
The number 11 fits into 19 1 times, leaving a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 41.0
Subtracting 11 from 19 leaves us with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 11

Step 4:
When dividing 86 by 11, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 417.0
Subtract 77 from 86 to get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 11

Moving on to step 5:
91 divided by 11 is 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 4178.0
Subtract 88 from 91 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 6:
30 divided by 11 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 4178.2
If we subtract 22 from 30, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
80 divided by 11 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 4178.27
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 4178.272
If we take 22 away from 30, we end up 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 9:
If we divide 80 by 11, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 4178.2727
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 4178.27272
Subtracting 22 from 30 leaves us 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.

On to step 11:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 4178.272727
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
30 divided by 11 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 4178.2727272
If we subtract 22 from 30, we get 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 13:
If we divide 80 by 11, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 4178.27272727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 4178.27272727 with a remaining 3e-09.