We divide 106691 by 41
The aim is to understand the frequency of 41 in 106691.

On to step 1:
41 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 41

Step 2:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 41

Let's proceed to step 3:
106 divided by 41 is 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 82 from 106 to get 24.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 41

Advancing to step 4:
The number 41 fits into 246 6 times, leaving a remainder of 0.
The next digit of our result is 6. 
Result so far: 26.0
Subtracting 246 from 246 leaves us with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 41

Advancing to step 5:
9 divided by 41 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 260.0
Subtract 0 from 9 to get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 41

Going ahead to step 6:
41 goes into 91 2 times with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 2602.0
Subtract 82 from 91 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
90 divided by 41 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2602.2
If we subtract 82 from 90, 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 8:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 2602.21
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 9:
The number 41 fits into 390 9 times, leaving a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 2602.219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
The number 41 fits into 210 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 2602.2195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
The number 41 fits into 50 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 2602.21951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
The number 41 fits into 90 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 2602.219512
Deduct 82 from 90 and we're left 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.

Let's proceed to step 13:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 2602.2195121
If we take 41 away from 80, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 14:
When dividing 390 by 41, we get 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 2602.21951219
Subtract 369 from 390 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 2602.21951219 and a remainder of 2.1e-08.