592961 ÷ 13 
The aim is to understand the frequency of 13 in 592961.

Going ahead to step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 13

Let's proceed to step 2:
13 can be fit into 59 4 times, resulting in a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 52 from 59, we get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 13

On to step 3:
72 divided by 13 is 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 45.0
If we take 65 away from 72, we end up with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 13

Going ahead to step 4:
13 can be fit into 79 6 times, resulting in a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 456.0
Subtract 78 from 79 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 13

Let's proceed to step 5:
The number 13 fits into 16 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 4561.0
The remainder is 3 after subtracting 13 from 16.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 13

Step 6:
13 goes into 31 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 45612.0
The remainder is 5 after subtracting 26 from 31.
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 7:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 45612.3
Deduct 39 from 50 and we're left 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.

Step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 45612.38
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 45612.384
Deduct 52 from 60 and we're left 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.

Advancing to step 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 45612.3846
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.

Let's proceed to step 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 45612.38461
Subtracting 13 from 20 leaves us 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.

Advancing to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 45612.384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 45612.3846153
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 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 45612.38461538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 45612.38461538, with a leftover of 6e-09.