We look at the division of 577213 by 66 
Let's see how many times 66 fits into 577213.

Let's proceed to step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 66

On to step 2:
66 can be fit into 57 0 times, resulting in a remainder of 57.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Grab the next digit (7) from the dividend, add it to 57, then carry on: 577 / 66

Going ahead to step 3:
If we divide 577 by 66, we get 8 and a remainder of 49.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 528 from 577 to get 49.
Include the next digit (2) from the dividend after 49, then repeat: 492 / 66

Let's proceed to step 4:
When dividing 492 by 66, we get 7 with a remainder of 30.
The next digit of our result is 7. 
Result so far: 87.0
The remainder is 30 after subtracting 462 from 492.
Fetch the next digit (1) from the dividend, attach it to 30 and continue: 301 / 66

Advancing to step 5:
301 divided by 66 is 4 with a remainder of 37.
The number 4 becomes the next digit in our result. 
Result so far: 874.0
Subtracting 264 from 301 leaves us with 37.
Bring next digit (3) of the dividend behind the 37 and repeat the process: 373 / 66

On to step 6:
When dividing 373 by 66, we get 5 with a remainder of 43.
Write down 5 as next digit of the result. 
Result so far: 8745.0
If we take 330 away from 373, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
The number 66 fits into 430 6 times, leaving a remainder of 34.
The next digit of our result is 6. 
Result so far: 8745.6
The remainder is 34 after subtracting 396 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
66 can be fit into 340 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8745.65
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
100 divided by 66 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 8745.651
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 10:
340 divided by 66 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 8745.6515
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
100 divided by 66 is 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 8745.65151
The remainder is 34 after subtracting 66 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 12:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8745.651515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
If we divide 100 by 66, we get 1 and a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 8745.6515151
Subtracting 66 from 100 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
66 goes into 340 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8745.65151515
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 8745.65151515 with a remainder of 1e-08.