We look at the division of 583564 by 66 
We want to figure out the number of times 583564 can be divided by 66.

Advancing to step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 66

Moving on to step 2:
66 goes into 58 0 times with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Grab the next digit (3) from the dividend, add it to 58, then carry on: 583 / 66

Moving on to step 3:
When dividing 583 by 66, we get 8 with a remainder of 55.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 528 from 583 leaves us with 55.
Grab the next digit (5) from the dividend, add it to 55, then carry on: 555 / 66

Let's proceed to step 4:
When dividing 555 by 66, we get 8 with a remainder of 27.
The next digit of our result is 8. 
Result so far: 88.0
If we take 528 away from 555, we end up with 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 66

Step 5:
66 goes into 276 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 884.0
Deduct 264 from 276 and we're left with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 66

Moving on to step 6:
124 divided by 66 is 1 with a remainder of 58.
Put 1 as the next digit of the answer. 
Result so far: 8841.0
Deduct 66 from 124 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 7:
When dividing 580 by 66, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 8841.8
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
The number 66 fits into 520 7 times, leaving a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 8841.87
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 9:
The number 66 fits into 580 8 times, leaving a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 8841.878
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 10:
When dividing 520 by 66, we get 7 with a remainder of 58.
The next digit of our result is 7. 
Result so far: 8841.8787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 11:
The number 66 fits into 580 8 times, leaving a remainder of 52.
The next digit of our result is 8. 
Result so far: 8841.87878
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 12:
When dividing 520 by 66, we get 7 with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 8841.878787
The remainder is 58 after subtracting 462 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 13:
When dividing 580 by 66, we get 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 8841.8787878
Deduct 528 from 580 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 14:
The number 66 fits into 520 7 times, leaving a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 8841.87878787
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final outcome is 8841.87878787, with a leftover of 5.8e-08.