577745 divided by 66 
We're looking to find how many times 66 goes into 577745.

Going ahead to step 1:
5 divided by 66 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 66

Advancing to step 2:
57 divided by 66 is 0 with a remainder of 57.
The number 0 becomes the next digit in our 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

Moving on to step 3:
When dividing 577 by 66, we get 8 with a remainder of 49.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 49 after subtracting 528 from 577.
Grab the next digit (7) from the dividend, add it to 49, then carry on: 497 / 66

On to step 4:
497 divided by 66 is 7 with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 87.0
Deduct 462 from 497 and we're left with 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 66

Let's proceed to step 5:
66 goes into 354 5 times with a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 875.0
If we subtract 330 from 354, we get 24.
Take the next digit (5) from the dividend and append it to 24, then repeat: 245 / 66

Step 6:
The number 66 fits into 245 3 times, leaving a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 8753.0
Subtract 198 from 245 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 7:
The number 66 fits into 470 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 8753.7
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.

Let's proceed to step 8:
80 divided by 66 is 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 8753.71
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.

Going ahead to step 9:
140 divided by 66 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 8753.712
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.

Moving on to step 10:
80 divided by 66 is 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 8753.7121
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.

Let's proceed to step 11:
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: 8753.71212
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.

Advancing to step 12:
80 divided by 66 is 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 8753.712121
Deduct 66 from 80 and we're left 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 13:
If we divide 140 by 66, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 8753.7121212
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.

Moving on 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: 8753.71212121
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.

The final outcome is 8753.71212121, with a leftover of 1.4e-08.