We're dividing 589461 by 66 
Let's see how many times 66 fits into 589461.

Advancing to step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 66

Going ahead to step 2:
66 can be fit into 58 0 times, resulting in a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Fetch the next digit (9) from the dividend, attach it to 58 and continue: 589 / 66

On to step 3:
The number 66 fits into 589 8 times, leaving a remainder of 61.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 528 from 589 and we're left with 61.
Take the next digit (4) from the dividend and append it to 61, then repeat: 614 / 66

Advancing to step 4:
When dividing 614 by 66, we get 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 89.0
Deduct 594 from 614 and we're left with 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 66

Step 5:
If we divide 206 by 66, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 893.0
Subtracting 198 from 206 leaves us with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 66

Step 6:
66 can be fit into 81 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 8931.0
Deduct 66 from 81 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
66 can be fit into 150 2 times, resulting in a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 8931.2
Subtract 132 from 150 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
180 divided by 66 is 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 8931.22
The remainder is 48 after subtracting 132 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final outcome is 8931.22, with a leftover of 0.048.