577972 ÷ 66 
Let's see how many times 66 fits into 577972.

Step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 66

On to step 2:
66 goes into 57 0 times with a remainder of 57.
Use 0 as the next digit of our solution. 
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

Advancing to step 3:
The number 66 fits into 577 8 times, leaving a remainder of 49.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 528 from 577, we get 49.
Fetch the next digit (9) from the dividend, attach it to 49 and continue: 499 / 66

Let's proceed to step 4:
499 divided by 66 is 7 with a remainder of 37.
The next digit of our result is 7. 
Result so far: 87.0
Subtract 462 from 499 to get 37.
Bring next digit (7) of the dividend behind the 37 and repeat the process: 377 / 66

Going ahead to step 5:
66 can be fit into 377 5 times, resulting in a remainder of 47.
Use 5 as the next digit of our solution. 
Result so far: 875.0
Subtract 330 from 377 to get 47.
Append the next digit (2) from the dividend to 47 and continue with: 472 / 66

Moving on to step 6:
When dividing 472 by 66, we get 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 8757.0
Subtract 462 from 472 to get 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 7:
66 can be fit into 100 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 8757.1
If we take 66 away from 100, we end up 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 8:
If we divide 340 by 66, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8757.15
If we take 330 away from 340, we end up 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.

On to step 9:
If we divide 100 by 66, we get 1 and a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 8757.151
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.

Moving on to step 10:
When dividing 340 by 66, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 8757.1515
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.

Advancing to step 11:
If we divide 100 by 66, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 8757.15151
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.

Let's proceed to step 12:
If we divide 340 by 66, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 8757.151515
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.

On to step 13:
66 can be fit into 100 1 times, resulting in a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 8757.1515151
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 14:
340 divided by 66 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8757.15151515
If we take 330 away from 340, we end up 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.

After the division, we end up with 8757.15151515 and a remainder of 1e-08.