We look at the division of 34566 by 66 
Our goal is to divide 34566 by 66.

Step 1:
If we divide 3 by 66, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 66

Advancing to step 2:
66 can be fit into 34 0 times, resulting in a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 66

Let's proceed to step 3:
If we divide 345 by 66, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 330 from 345 to get 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 66

Going ahead to step 4:
The number 66 fits into 156 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 52.0
The remainder is 24 after subtracting 132 from 156.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 66

On to step 5:
The number 66 fits into 246 3 times, leaving a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 523.0
The remainder is 48 after subtracting 198 from 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 6:
66 can be fit into 480 7 times, resulting in a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 523.7
Subtract 462 from 480 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
When dividing 180 by 66, we get 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 523.72
If we take 132 away from 180, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
The number 66 fits into 480 7 times, leaving a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 523.727
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
180 divided by 66 is 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 523.7272
Deduct 132 from 180 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
66 goes into 480 7 times with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 523.72727
If we take 462 away from 480, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
When dividing 180 by 66, we get 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 523.727272
If we take 132 away from 180, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 12:
480 divided by 66 is 7 with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 523.7272727
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 13:
If we divide 180 by 66, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 523.72727272
The remainder is 48 after subtracting 132 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final result is 523.72727272 with a remainder of 4.8e-08.