We're dividing 165006 by 34 
We're looking to find how many times 34 goes into 165006.

Going ahead to step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 34

Advancing to step 2:
If we divide 16 by 34, we get 0 and a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 16, we end up with 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 34

On to step 3:
34 can be fit into 165 4 times, resulting in a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 136 from 165 and we're left with 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 34

Moving on to step 4:
When dividing 290 by 34, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 48.0
Subtract 272 from 290 to get 18.
Take the next digit (0) from the dividend and append it to 18, then repeat: 180 / 34

On to step 5:
34 can be fit into 180 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 485.0
If we take 170 away from 180, we end up with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 34

Step 6:
If we divide 106 by 34, we get 3 and a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 4853.0
If we subtract 102 from 106, we get 4.
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 7:
34 goes into 40 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 4853.1
Subtracting 34 from 40 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
If we divide 60 by 34, we get 1 and a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 4853.11
If we take 34 away from 60, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 4853.11 with a remaining 0.026.