We look at the division of 596584 by 66 
We want to figure out the number of times 596584 can be divided by 66.

Moving on to step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 66

Advancing to step 2:
66 goes into 59 0 times with a remainder of 59.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 59 after subtracting 0 from 59.
Grab the next digit (6) from the dividend, add it to 59, then carry on: 596 / 66

Step 3:
596 divided by 66 is 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 594 from 596 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 66

Moving on to step 4:
When dividing 25 by 66, we get 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Subtracting 0 from 25 leaves us with 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 66

Moving on to step 5:
66 goes into 258 3 times with a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 903.0
Deduct 198 from 258 and we're left with 60.
Bring next digit (4) of the dividend behind the 60 and repeat the process: 604 / 66

Step 6:
The number 66 fits into 604 9 times, leaving a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 9039.0
If we subtract 594 from 604, we 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.

Advancing to step 7:
66 goes into 100 1 times with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 9039.1
The remainder is 34 after subtracting 66 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9039.15
Deduct 330 from 340 and we're left 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.

Step 9:
66 goes into 100 1 times with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 9039.151
If we subtract 66 from 100, we 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 10:
When dividing 340 by 66, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 9039.1515
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.

Moving on to step 11:
100 divided by 66 is 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 9039.15151
If we take 66 away from 100, we end up 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.

On to step 12:
66 goes into 340 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9039.151515
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.

Step 13:
100 divided by 66 is 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 9039.1515151
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.

Moving on to step 14:
When dividing 340 by 66, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9039.15151515
Deduct 330 from 340 and we're left 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.

The final result is 9039.15151515 with a remainder of 1e-08.