We look at the division of 581191 by 66 
Our goal is to divide 581191 by 66.

Advancing to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 66

Going ahead to step 2:
If we divide 58 by 66, we get 0 and a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Fetch the next digit (1) from the dividend, attach it to 58 and continue: 581 / 66

Step 3:
When dividing 581 by 66, we get 8 with a remainder of 53.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 528 from 581, we get 53.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 66

Moving on to step 4:
66 can be fit into 531 8 times, resulting in a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Subtract 528 from 531 to get 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 66

Step 5:
66 can be fit into 39 0 times, resulting in a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 880.0
If we subtract 0 from 39, we get 39.
Grab the next digit (1) from the dividend, add it to 39, then carry on: 391 / 66

Advancing to step 6:
The number 66 fits into 391 5 times, leaving a remainder of 61.
Put 5 as the next digit of the answer. 
Result so far: 8805.0
Subtract 330 from 391 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 7:
When dividing 610 by 66, we get 9 with a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 8805.9
Subtract 594 from 610 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
If we divide 160 by 66, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 8805.92
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
The number 66 fits into 280 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 8805.924
Subtract 264 from 280 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
If we divide 160 by 66, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 8805.9242
If we take 132 away from 160, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
The number 66 fits into 280 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 8805.92424
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
66 can be fit into 160 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 8805.924242
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 13:
66 can be fit into 280 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 8805.9242424
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
When dividing 160 by 66, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 8805.92424242
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 8805.92424242 with a balance of 2.8e-08.