841585 divided by 13 
The aim is to understand the frequency of 13 in 841585.

Going ahead to step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 13

Step 2:
84 divided by 13 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 78 from 84 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 13

Let's proceed to step 3:
The number 13 fits into 61 4 times, leaving a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Deduct 52 from 61 and we're left with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 13

Moving on to step 4:
13 goes into 95 7 times with a remainder of 4.
The next digit of our result is 7. 
Result so far: 647.0
If we take 91 away from 95, we end up with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 13

Moving on to step 5:
13 can be fit into 48 3 times, resulting in a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 6473.0
Subtract 39 from 48 to get 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 13

Step 6:
95 divided by 13 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 64737.0
Subtract 91 from 95 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 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 64737.3
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.

Moving on to step 8:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 64737.3
If we take 0 away from 10, we end up 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.

Moving on to step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 64737.307
Subtract 91 from 100 to 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 10:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 64737.3076
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.

Let's proceed to step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 64737.30769
If we subtract 117 from 120, we 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.

Let's proceed to step 12:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 64737.307692
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.

Advancing to step 13:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 64737.3076923
If we take 39 away from 40, we end up 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.

Advancing to step 14:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 64737.3076923
If we take 0 away from 10, we end up 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.

The final result is 64737.3076923 with a remainder of 1e-08.