We look at the division of 16903 by 34 
The aim is to understand the frequency of 34 in 16903.

On to step 1:
If we divide 1 by 34, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 34

Going ahead to step 2:
34 can be fit into 16 0 times, resulting in a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 34

On to step 3:
When dividing 169 by 34, we get 4 with a remainder of 33.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 136 from 169 and we're left with 33.
Append the next digit (0) from the dividend to 33 and continue with: 330 / 34

Step 4:
34 goes into 330 9 times with a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 49.0
Subtract 306 from 330 to get 24.
Include the next digit (3) from the dividend after 24, then repeat: 243 / 34

Let's proceed to step 5:
243 divided by 34 is 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 497.0
The remainder is 5 after subtracting 238 from 243.
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 6:
When dividing 50 by 34, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 497.1
If we subtract 34 from 50, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
When dividing 160 by 34, we get 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 497.14
If we subtract 136 from 160, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
The number 34 fits into 240 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 497.147
If we subtract 238 from 240, we 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.

Advancing to step 9:
34 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 497.147
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
34 can be fit into 200 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 497.14705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
300 divided by 34 is 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 497.147058
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
The number 34 fits into 280 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 497.1470588
If we take 272 away from 280, 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.

After the division, we end up with 497.1470588 and a remainder of 8e-08.