We're dividing 343543 by 34 
The aim is to understand the frequency of 34 in 343543.

Going ahead to step 1:
34 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 34

Advancing to step 2:
When dividing 34 by 34, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 34 away from 34, we end up with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 34

Moving on to step 3:
When dividing 3 by 34, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 34

On to step 4:
35 divided by 34 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
If we subtract 34 from 35, we get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 34

Let's proceed to step 5:
When dividing 14 by 34, we get 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 1010.0
Subtract 0 from 14 to get 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 34

On to step 6:
143 divided by 34 is 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 10104.0
If we take 136 away from 143, we end up 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.

On to step 7:
34 goes into 70 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 10104.2
Deduct 68 from 70 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
When dividing 20 by 34, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10104.2
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.

Advancing to step 9:
If we divide 200 by 34, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 10104.205
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.

Step 10:
When dividing 300 by 34, we get 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 10104.2058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 10104.20588
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 10104.20588, and the remainder is 8e-06.