832870 divided by 13 
The aim is to understand the frequency of 13 in 832870.

On to step 1:
8 divided by 13 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 13

Moving on to step 2:
13 goes into 83 6 times with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 78 from 83 leaves us with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 13

Let's proceed to step 3:
The number 13 fits into 52 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 64.0
Deduct 52 from 52 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 13

Advancing to step 4:
When dividing 8 by 13, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 640.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

On to step 5:
13 goes into 87 6 times with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 6406.0
If we subtract 78 from 87, we get 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 13

Going ahead to step 6:
90 divided by 13 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 64066.0
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 64066.9
Subtracting 117 from 120 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 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 64066.92
Deduct 26 from 30 and we're left 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.

Moving on to step 9:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 64066.923
If we take 39 away from 40, we end up 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.

Going ahead to step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 64066.923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 64066.92307
Subtracting 91 from 100 leaves us 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.

Moving on to step 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 64066.923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 64066.9230769
Subtract 117 from 120 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.

Let's proceed to step 14:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 64066.92307692
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.

Our division results in 64066.92307692 with a remaining 4e-09.