701113 divided by 13 
The aim is to understand the frequency of 13 in 701113.

Moving on to step 1:
7 divided by 13 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 13

Moving on to step 2:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 5 after subtracting 65 from 70.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Advancing to step 3:
If we divide 51 by 13, we get 3 and a remainder of 12.
The next digit of our result is 3. 
Result so far: 53.0
If we subtract 39 from 51, we get 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 13

Moving on to step 4:
13 goes into 121 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 539.0
Deduct 117 from 121 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 13

Advancing to step 5:
41 divided by 13 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 5393.0
Subtracting 39 from 41 leaves us with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 13

Moving on to step 6:
The number 13 fits into 23 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 53931.0
If we subtract 13 from 23, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 53931.7
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 53931.76
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 53931.769
If we subtract 117 from 120, we 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.

Let's proceed to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 53931.7692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 53931.76923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 53931.76923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 53931.7692307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 53931.76923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 53931.76923076 with a remaining 1.2e-08.