753422 ÷ 13 
The aim is to understand the frequency of 13 in 753422.

Let's proceed to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 13

Let's proceed to step 2:
If we divide 75 by 13, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 65 away from 75, we end up with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 13

Going ahead to step 3:
The number 13 fits into 103 7 times, leaving a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
Subtracting 91 from 103 leaves us with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 13

Moving on to step 4:
The number 13 fits into 124 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 579.0
If we subtract 117 from 124, we get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 13

On to step 5:
13 can be fit into 72 5 times, resulting in a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 5795.0
Subtract 65 from 72 to get 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 13

Moving on to step 6:
72 divided by 13 is 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 57955.0
The remainder is 7 after subtracting 65 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 57955.5
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 8:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 57955.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 57955.538
Subtract 104 from 110 to 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.

Going ahead to step 10:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 57955.5384
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.

Moving on to step 11:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 57955.53846
Subtracting 78 from 80 leaves us 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.

On to step 12:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 57955.538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 57955.5384615
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.

Let's proceed to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 57955.53846153
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.

The quotient of the division is 57955.53846153, and the remainder is 1.1e-08.