We're dividing 165434 by 66 
We're looking to find how many times 66 goes into 165434.

Let's proceed to step 1:
66 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 66

Step 2:
66 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
Subtracting 0 from 16 leaves us with 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 66

Let's proceed to step 3:
66 goes into 165 2 times with a remainder of 33.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 132 from 165 to get 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 66

Step 4:
If we divide 334 by 66, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtracting 330 from 334 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 66

Let's proceed to step 5:
If we divide 43 by 66, we get 0 and a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 250.0
If we subtract 0 from 43, we get 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 66

Step 6:
66 can be fit into 434 6 times, resulting in a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 2506.0
The remainder is 38 after subtracting 396 from 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
The number 66 fits into 380 5 times, leaving a remainder of 50.
The next digit of our result is 5. 
Result so far: 2506.5
Subtract 330 from 380 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 2506.57
Subtract 462 from 500 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
380 divided by 66 is 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 2506.575
If we subtract 330 from 380, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
When dividing 500 by 66, we get 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 2506.5757
Deduct 462 from 500 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 11:
380 divided by 66 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 2506.57575
Deduct 330 from 380 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 12:
If we divide 500 by 66, we get 7 and a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 2506.575757
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 13:
The number 66 fits into 380 5 times, leaving a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 2506.5757575
Subtract 330 from 380 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 14:
66 can be fit into 500 7 times, resulting in a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 2506.57575757
If we subtract 462 from 500, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 2506.57575757 with a remaining 3.8e-08.