We look at the division of 591525 by 66 
Our goal is to divide 591525 by 66.

Advancing to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 66

Step 2:
66 goes into 59 0 times with a remainder of 59.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 59, we end up with 59.
Fetch the next digit (1) from the dividend, attach it to 59 and continue: 591 / 66

Moving on to step 3:
If we divide 591 by 66, we get 8 and a remainder of 63.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 63 after subtracting 528 from 591.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 66

Step 4:
When dividing 635 by 66, we get 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 89.0
Deduct 594 from 635 and we're left with 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 66

Step 5:
412 divided by 66 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 896.0
Subtract 396 from 412 to get 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 66

Moving on to step 6:
66 goes into 165 2 times with a remainder of 33.
Record the quotient 2 as the next digit in the result. 
Result so far: 8962.0
Deduct 132 from 165 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
When dividing 330 by 66, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 8962.5
Subtract 330 from 330 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 66, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8962.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
0 divided by 66 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8962.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 8962.5 with a remaining 0.0.