We look at the division of 589093 by 66 
We're looking to find how many times 66 goes into 589093.

Moving on to step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 66

Going ahead to step 2:
When dividing 58 by 66, we get 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Append the next digit (9) from the dividend to 58 and continue with: 589 / 66

Advancing to step 3:
The number 66 fits into 589 8 times, leaving a remainder of 61.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 528 away from 589, we end up with 61.
Fetch the next digit (0) from the dividend, attach it to 61 and continue: 610 / 66

Advancing to step 4:
66 can be fit into 610 9 times, resulting in a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
Subtracting 594 from 610 leaves us with 16.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 66

Step 5:
The number 66 fits into 169 2 times, leaving a remainder of 37.
The number 2 becomes the next digit in our result. 
Result so far: 892.0
Subtracting 132 from 169 leaves us with 37.
Bring next digit (3) of the dividend behind the 37 and repeat the process: 373 / 66

Step 6:
66 can be fit into 373 5 times, resulting in a remainder of 43.
Put 5 as the next digit of the answer. 
Result so far: 8925.0
The remainder is 43 after subtracting 330 from 373.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
66 goes into 430 6 times with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 8925.6
If we subtract 396 from 430, 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.

Advancing to step 8:
66 can be fit into 340 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 8925.65
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.

Going ahead to step 9:
If we divide 100 by 66, we get 1 and a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 8925.651
Subtracting 66 from 100 leaves us 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 10:
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: 8925.6515
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.

Moving on to step 11:
The number 66 fits into 100 1 times, leaving a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 8925.65151
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 12:
340 divided by 66 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 8925.651515
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.

Let's proceed to step 13:
100 divided by 66 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 8925.6515151
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 14:
The number 66 fits into 340 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 8925.65151515
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 quotient of the division is 8925.65151515, and the remainder is 1e-08.