340120 ÷ 13 
The aim is to understand the frequency of 13 in 340120.

Going ahead to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 13

Going ahead to step 2:
13 can be fit into 34 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 8 after subtracting 26 from 34.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 13

Step 3:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 26.0
The remainder is 2 after subtracting 78 from 80.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 13

On to step 4:
13 can be fit into 21 1 times, resulting in a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 261.0
The remainder is 8 after subtracting 13 from 21.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 13

On to step 5:
13 goes into 82 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 2616.0
The remainder is 4 after subtracting 78 from 82.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 13

Moving on to step 6:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 26163.0
Subtracting 39 from 40 leaves us 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 7:
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: 26163.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 26163.07
Deduct 91 from 100 and we're left 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.

Step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 26163.076
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.

Step 10:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 26163.0769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 26163.07692
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.

Let's proceed to step 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 26163.076923
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.

Step 13:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 26163.076923
Subtracting 0 from 10 leaves us 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.

On to step 14:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 26163.07692307
If we subtract 91 from 100, we 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.

The quotient of the division is 26163.07692307, and the remainder is 9e-09.