170038 ÷ 13 
The aim is to understand the frequency of 13 in 170038.

Step 1:
13 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

Advancing to step 2:
13 goes into 17 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 13 from 17 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 13

Moving on to step 3:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 39 away from 40, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 13

Moving on to step 4:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 130.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 13

On to step 5:
If we divide 103 by 13, we get 7 and a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 1307.0
If we subtract 91 from 103, we get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 13

On to step 6:
When dividing 128 by 13, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 13079.0
Deduct 117 from 128 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 7:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 13079.8
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.

Let's proceed to step 8:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 13079.84
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.

Let's proceed to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 13079.846
Subtract 78 from 80 to get 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 10:
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: 13079.8461
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.

Step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 13079.84615
Deduct 65 from 70 and we're left 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.

Moving on to step 12:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 13079.846153
Subtracting 39 from 50 leaves us 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.

Let's proceed to step 13:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 13079.8461538
If we subtract 104 from 110, we 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.

Advancing to step 14:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 13079.84615384
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.

In conclusion, the division gives 13079.84615384 with a balance of 8e-09.