582888 ÷ 66 
We're looking to find how many times 66 goes into 582888.

Step 1:
66 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 66

Let's proceed to step 2:
58 divided by 66 is 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Bring next digit (2) of the dividend behind the 58 and repeat the process: 582 / 66

On to step 3:
When dividing 582 by 66, we get 8 with a remainder of 54.
The next digit of our result is 8. 
Result so far: 8.0
If we take 528 away from 582, we end up with 54.
Grab the next digit (8) from the dividend, add it to 54, then carry on: 548 / 66

Step 4:
When dividing 548 by 66, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
Subtract 528 from 548 to get 20.
Append the next digit (8) from the dividend to 20 and continue with: 208 / 66

Step 5:
If we divide 208 by 66, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 883.0
Subtract 198 from 208 to get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 66

Let's proceed to step 6:
66 goes into 108 1 times with a remainder of 42.
The next digit of our result is 1. 
Result so far: 8831.0
Subtracting 66 from 108 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 7:
When dividing 420 by 66, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 8831.6
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
66 goes into 240 3 times with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 8831.63
If we take 198 away from 240, we end up 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.

Advancing to step 9:
When dividing 420 by 66, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 8831.636
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
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: 8831.6363
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.

Moving on to step 11:
When dividing 420 by 66, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 8831.63636
The remainder is 24 after subtracting 396 from 420.
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:
66 goes into 240 3 times with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 8831.636363
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.

Let's proceed to step 13:
The number 66 fits into 420 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 8831.6363636
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.

Moving on to step 14:
66 goes into 240 3 times with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 8831.63636363
If we subtract 198 from 240, we 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.

In conclusion, the division gives 8831.63636363 with a balance of 4.2e-08.