581865 ÷ 66 
Let's see how many times 66 fits into 581865.

Advancing to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
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

Let's proceed to step 2:
The number 66 fits into 58 0 times, leaving a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Take the next digit (1) from the dividend and append it to 58, then repeat: 581 / 66

On to step 3:
66 can be fit into 581 8 times, resulting in a remainder of 53.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 528 away from 581, we end up with 53.
Fetch the next digit (8) from the dividend, attach it to 53 and continue: 538 / 66

Going ahead to step 4:
The number 66 fits into 538 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 88.0
The remainder is 10 after subtracting 528 from 538.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 66

Step 5:
When dividing 106 by 66, we get 1 with a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 881.0
Subtract 66 from 106 to get 40.
Take the next digit (5) from the dividend and append it to 40, then repeat: 405 / 66

Going ahead to step 6:
66 goes into 405 6 times with a remainder of 9.
The next digit of our result is 6. 
Result so far: 8816.0
Deduct 396 from 405 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
66 goes into 90 1 times with a remainder of 24.
The next digit of our result is 1. 
Result so far: 8816.1
If we take 66 away from 90, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
66 can be fit into 240 3 times, resulting in a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 8816.13
Deduct 198 from 240 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 9:
420 divided by 66 is 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 8816.136
Subtracting 396 from 420 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
240 divided by 66 is 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 8816.1363
Subtract 198 from 240 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 11:
When dividing 420 by 66, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 8816.13636
If we take 396 away from 420, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
The number 66 fits into 240 3 times, leaving a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 8816.136363
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 13:
420 divided by 66 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 8816.1363636
If we subtract 396 from 420, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 14:
The number 66 fits into 240 3 times, leaving a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 8816.13636363
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 8816.13636363 with a remaining 4.2e-08.