We're dividing 785678 by 13 
The aim is to understand the frequency of 13 in 785678.

Moving on to step 1:
13 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 13

On to step 2:
If we divide 78 by 13, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 78 away from 78, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 13

Advancing to step 3:
If we divide 5 by 13, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 60.0
If we subtract 0 from 5, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 13

Moving on to step 4:
The number 13 fits into 56 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 604.0
Subtract 52 from 56 to get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 13

On to step 5:
13 goes into 47 3 times with a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 6043.0
Deduct 39 from 47 and we're left with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 13

Moving on to step 6:
The number 13 fits into 88 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 60436.0
If we subtract 78 from 88, 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.

Let's proceed to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 60436.7
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.

Moving on to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 60436.76
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
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: 60436.769
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.

On to step 10:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 60436.7692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 60436.76923
The remainder is 1 after subtracting 39 from 40.
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 12:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 60436.76923
Deduct 0 from 10 and we're left 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.

Going ahead to step 13:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 60436.7692307
The remainder is 9 after subtracting 91 from 100.
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.
Write down 6 as next digit of the result. 
Result so far: 60436.76923076
Deduct 78 from 90 and we're left 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.

Our division results in 60436.76923076 with a remaining 1.2e-08.