783806 ÷ 13 
The aim is to understand the frequency of 13 in 783806.

Advancing to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 13

Moving on to step 2:
13 goes into 78 6 times with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 78 from 78 and we're left with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 13

Advancing to step 3:
If we divide 3 by 13, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 60.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 13

Step 4:
13 goes into 38 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 602.0
If we take 26 away from 38, we end up with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 13

Step 5:
When dividing 120 by 13, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 6029.0
The remainder is 3 after subtracting 117 from 120.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 13

Advancing to step 6:
When dividing 36 by 13, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 60292.0
The remainder is 10 after subtracting 26 from 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
13 goes into 100 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 60292.7
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.

On to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 60292.76
Subtracting 78 from 90 leaves us 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.

Advancing to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 60292.769
Subtracting 117 from 120 leaves us 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.

Moving on to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 60292.7692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 60292.76923
Deduct 39 from 40 and we're left 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.

Going ahead to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 60292.76923
Deduct 0 from 10 and we're left 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 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 60292.7692307
Subtracting 91 from 100 leaves us 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.

Moving on to step 14:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 60292.76923076
Subtracting 78 from 90 leaves us 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.

Our division results in 60292.76923076 with a remaining 1.2e-08.