Let's divide 513593 by 66
Our goal is to divide 513593 by 66.

Going ahead to step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 66

Let's proceed to step 2:
If we divide 51 by 66, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 66

Going ahead to step 3:
66 can be fit into 513 7 times, resulting in a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 462 away from 513, we end up with 51.
Take the next digit (5) from the dividend and append it to 51, then repeat: 515 / 66

Advancing to step 4:
If we divide 515 by 66, we get 7 and a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 77.0
The remainder is 53 after subtracting 462 from 515.
Grab the next digit (9) from the dividend, add it to 53, then carry on: 539 / 66

On to step 5:
When dividing 539 by 66, we get 8 with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 778.0
Deduct 528 from 539 and we're left with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 66

Step 6:
When dividing 113 by 66, we get 1 with a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 7781.0
If we take 66 away from 113, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 7:
When dividing 470 by 66, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7781.7
If we subtract 462 from 470, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
80 divided by 66 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 7781.71
If we subtract 66 from 80, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
66 goes into 140 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 7781.712
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
When dividing 80 by 66, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 7781.7121
If we take 66 away from 80, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
The number 66 fits into 140 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 7781.71212
If we subtract 132 from 140, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
The number 66 fits into 80 1 times, leaving a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 7781.712121
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
66 can be fit into 140 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 7781.7121212
Subtracting 132 from 140 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 66 is 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 7781.71212121
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 7781.71212121, with a leftover of 1.4e-08.