We're dividing 43165 by 34 
We're looking to find how many times 34 goes into 43165.

Moving on to step 1:
34 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 34

Let's proceed to step 2:
34 can be fit into 43 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 34 away from 43, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 34

Advancing to step 3:
91 divided by 34 is 2 with a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 23 after subtracting 68 from 91.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 34

Going ahead to step 4:
If we divide 236 by 34, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 126.0
Subtracting 204 from 236 leaves us with 32.
Take the next digit (5) from the dividend and append it to 32, then repeat: 325 / 34

Advancing to step 5:
34 can be fit into 325 9 times, resulting in a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 1269.0
Subtracting 306 from 325 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 6:
34 goes into 190 5 times with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 1269.5
Subtracting 170 from 190 leaves us with 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 7:
When dividing 200 by 34, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1269.55
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.

Our division results in 1269.55 with a remaining 0.03.