We're dividing 897412 by 13 
The aim is to understand the frequency of 13 in 897412.

Going ahead to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 13

Advancing to step 2:
89 divided by 13 is 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 11 after subtracting 78 from 89.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 13

Moving on to step 3:
When dividing 117 by 13, we get 9 with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 69.0
The remainder is 0 after subtracting 117 from 117.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 13

On to step 4:
4 divided by 13 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 690.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 13

On to step 5:
41 divided by 13 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 6903.0
The remainder is 2 after subtracting 39 from 41.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 13

Going ahead to step 6:
When dividing 22 by 13, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 69031.0
If we subtract 13 from 22, we get 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 7:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 69031.6
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.

Moving on to step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 69031.69
If we take 117 away from 120, we end up 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 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 69031.692
If we take 26 away from 30, we end up 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 10:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 69031.6923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 69031.6923
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.

Step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 69031.692307
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.

On to step 13:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 69031.6923076
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.

Step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 69031.69230769
Deduct 117 from 120 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.

The final outcome is 69031.69230769, with a leftover of 3e-09.