588622 ÷ 66 
We're looking to find how many times 66 goes into 588622.

Step 1:
The number 66 fits into 5 0 times, leaving 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.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 66

Let's proceed to step 2:
The number 66 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (8) from the dividend, attach it to 58 and continue: 588 / 66

Step 3:
The number 66 fits into 588 8 times, leaving a remainder of 60.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 528 away from 588, we end up with 60.
Include the next digit (6) from the dividend after 60, then repeat: 606 / 66

Moving on to step 4:
When dividing 606 by 66, we get 9 with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 89.0
If we take 594 away from 606, we end up with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 66

Let's proceed to step 5:
When dividing 122 by 66, we get 1 with a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 891.0
If we take 66 away from 122, we end up with 56.
Include the next digit (2) from the dividend after 56, then repeat: 562 / 66

Going ahead to step 6:
66 goes into 562 8 times with a remainder of 34.
The next digit of our result is 8. 
Result so far: 8918.0
Deduct 528 from 562 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8918.5
Subtract 330 from 340 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
100 divided by 66 is 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 8918.51
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
340 divided by 66 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 8918.515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
The number 66 fits into 100 1 times, leaving a remainder of 34.
The next digit of our result is 1. 
Result so far: 8918.5151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 8918.51515
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
66 can be fit into 100 1 times, resulting in a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 8918.515151
Subtract 66 from 100 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
340 divided by 66 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8918.5151515
If we take 330 away from 340, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
If we divide 100 by 66, we get 1 and a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 8918.51515151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 8918.51515151 with a balance of 3.4e-08.