We divide 107126 by 13
The aim is to understand the frequency of 13 in 107126.

Advancing to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 13

Let's proceed to step 2:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 13

Moving on to step 3:
13 can be fit into 107 8 times, resulting in a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 104 away from 107, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

Moving on to step 4:
13 can be fit into 31 2 times, resulting in a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Deduct 26 from 31 and we're left with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 13

Let's proceed to step 5:
13 goes into 52 4 times with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 824.0
If we take 52 away from 52, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 13

Going ahead to step 6:
If we divide 6 by 13, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 8240.0
Subtract 0 from 6 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8240.4
If we take 52 away from 60, 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.

Step 8:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 8240.46
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8240.461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8240.4615
If we take 65 away from 70, 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 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 8240.46153
The remainder is 11 after subtracting 39 from 50.
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 12:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 8240.461538
Deduct 104 from 110 and we're left 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.

Going ahead to step 13:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 8240.4615384
If we subtract 52 from 60, 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.

On to step 14:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 8240.46153846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 8240.46153846 with a balance of 2e-09.