We look at the division of 577877 by 66 
Our goal is to divide 577877 by 66.

Let's proceed to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 66

Advancing to step 2:
66 can be fit into 57 0 times, resulting in a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Bring next digit (7) of the dividend behind the 57 and repeat the process: 577 / 66

Going ahead to step 3:
577 divided by 66 is 8 with a remainder of 49.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 528 from 577, we get 49.
Fetch the next digit (8) from the dividend, attach it to 49 and continue: 498 / 66

Going ahead to step 4:
When dividing 498 by 66, we get 7 with a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 87.0
Deduct 462 from 498 and we're left with 36.
Bring next digit (7) of the dividend behind the 36 and repeat the process: 367 / 66

Going ahead to step 5:
If we divide 367 by 66, we get 5 and a remainder of 37.
Use 5 as the next digit of our solution. 
Result so far: 875.0
Deduct 330 from 367 and we're left with 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 66

Moving on to step 6:
66 goes into 377 5 times with a remainder of 47.
Put 5 as the next digit of the answer. 
Result so far: 8755.0
The remainder is 47 after subtracting 330 from 377.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
The number 66 fits into 470 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 8755.7
Subtract 462 from 470 to 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.

On to step 8:
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: 8755.71
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.

On to step 9:
66 can be fit into 140 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 8755.712
If we take 132 away from 140, we end up 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.

Advancing 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: 8755.7121
Subtract 66 from 80 to 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.

On to step 11:
The number 66 fits into 140 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 8755.71212
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.

Moving on to step 12:
If we divide 80 by 66, we get 1 and a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 8755.712121
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.

Going ahead to step 13:
When dividing 140 by 66, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 8755.7121212
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
If we divide 80 by 66, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 8755.71212121
Subtracting 66 from 80 leaves us 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.

The quotient of the division is 8755.71212121, and the remainder is 1.4e-08.