546422 ÷ 13 
The aim is to understand the frequency of 13 in 546422.

Advancing to step 1:
13 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 13

Let's proceed to step 2:
13 goes into 54 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 52 from 54, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 13

Let's proceed to step 3:
13 goes into 26 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 0 after subtracting 26 from 26.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 13

On to step 4:
If we divide 4 by 13, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 420.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

Moving on to step 5:
42 divided by 13 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 4203.0
If we take 39 away from 42, we end up with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 13

Step 6:
When dividing 32 by 13, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 42032.0
The remainder is 6 after subtracting 26 from 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 42032.4
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 42032.46
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 42032.461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 42032.4615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 42032.46153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 42032.461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 42032.4615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 42032.46153846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 42032.46153846 with a balance of 2e-09.