17065 ÷ 66 
We want to figure out the number of times 17065 can be divided by 66.

Step 1:
1 divided by 66 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 66

Going ahead to step 2:
17 divided by 66 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Take the next digit (0) from the dividend and append it to 17, then repeat: 170 / 66

Advancing to step 3:
170 divided by 66 is 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 132 from 170 to get 38.
Include the next digit (6) from the dividend after 38, then repeat: 386 / 66

Let's proceed to step 4:
386 divided by 66 is 5 with a remainder of 56.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 330 from 386 leaves us with 56.
Bring next digit (5) of the dividend behind the 56 and repeat the process: 565 / 66

Advancing to step 5:
565 divided by 66 is 8 with a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 258.0
The remainder is 37 after subtracting 528 from 565.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 6:
The number 66 fits into 370 5 times, leaving a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 258.5
If we take 330 away from 370, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
The number 66 fits into 400 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 258.56
The remainder is 4 after subtracting 396 from 400.
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 8:
66 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 258.56
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
66 goes into 400 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 258.5606
If we subtract 396 from 400, 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.

Advancing to step 10:
The number 66 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 258.5606
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
400 divided by 66 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 258.560606
If we take 396 away from 400, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
When dividing 40 by 66, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 258.560606
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
If we divide 400 by 66, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 258.56060606
Deduct 396 from 400 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 258.56060606 with a remaining 4e-09.