We're dividing 977434 by 13 
The aim is to understand the frequency of 13 in 977434.

Moving on to step 1:
9 divided by 13 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 13

Let's proceed to step 2:
13 can be fit into 97 7 times, resulting in a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 91 from 97 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 13

Going ahead to step 3:
When dividing 67 by 13, we get 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 75.0
If we take 65 away from 67, we end up with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 13

Advancing to step 4:
The number 13 fits into 24 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 751.0
Subtracting 13 from 24 leaves us with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 13

Let's proceed to step 5:
If we divide 113 by 13, we get 8 and a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 7518.0
If we subtract 104 from 113, we get 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 13

Going ahead to step 6:
If we divide 94 by 13, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 75187.0
Deduct 91 from 94 and we're left 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.

Moving on to step 7:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 75187.2
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.

Step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 75187.23
Subtracting 39 from 40 leaves us 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.

On to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 75187.23
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.

Going ahead to step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 75187.2307
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.

On to step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 75187.23076
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 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 75187.230769
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.

On to step 13:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 75187.2307692
Subtract 26 from 30 to 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.

Going ahead to step 14:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 75187.23076923
Subtracting 39 from 40 leaves us 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.

The final result is 75187.23076923 with a remainder of 1e-09.