Let's divide 636584 by 66
We want to divide 636584 by 66.

Going ahead to step 1:
66 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 66

Moving on to step 2:
63 divided by 66 is 0 with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Bring next digit (6) of the dividend behind the 63 and repeat the process: 636 / 66

Advancing to step 3:
When dividing 636 by 66, we get 9 with a remainder of 42.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 42 after subtracting 594 from 636.
Include the next digit (5) from the dividend after 42, then repeat: 425 / 66

Moving on to step 4:
425 divided by 66 is 6 with a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
If we take 396 away from 425, we end up with 29.
Fetch the next digit (8) from the dividend, attach it to 29 and continue: 298 / 66

Advancing to step 5:
66 can be fit into 298 4 times, resulting in a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 964.0
If we subtract 264 from 298, we get 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 66

Moving on to step 6:
66 goes into 344 5 times with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 9645.0
The remainder is 14 after subtracting 330 from 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
66 can be fit into 140 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 9645.2
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
When dividing 80 by 66, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 9645.21
If we subtract 66 from 80, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
If we divide 140 by 66, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 9645.212
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
80 divided by 66 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 9645.2121
Deduct 66 from 80 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
When dividing 140 by 66, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 9645.21212
If we subtract 132 from 140, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
If we divide 80 by 66, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 9645.212121
Deduct 66 from 80 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
66 goes into 140 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 9645.2121212
If we subtract 132 from 140, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
The number 66 fits into 80 1 times, leaving a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 9645.21212121
Subtract 66 from 80 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 9645.21212121 with a balance of 1.4e-08.