We're dividing 586579 by 66 
Our goal is to divide 586579 by 66.

Moving on to step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 66

Advancing to step 2:
66 goes into 58 0 times with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 66

Advancing to step 3:
66 goes into 586 8 times with a remainder of 58.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 528 from 586, we get 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 66

Let's proceed to step 4:
If we divide 585 by 66, we get 8 and a remainder of 57.
Use 8 as the next digit of our solution. 
Result so far: 88.0
The remainder is 57 after subtracting 528 from 585.
Fetch the next digit (7) from the dividend, attach it to 57 and continue: 577 / 66

Going ahead to step 5:
66 goes into 577 8 times with a remainder of 49.
The next digit of our result is 8. 
Result so far: 888.0
If we subtract 528 from 577, we get 49.
Append the next digit (9) from the dividend to 49 and continue with: 499 / 66

On to step 6:
66 goes into 499 7 times with a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 8887.0
Deduct 462 from 499 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
When dividing 370 by 66, we get 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 8887.5
The remainder is 40 after subtracting 330 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
66 goes into 400 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8887.56
Deduct 396 from 400 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
When dividing 40 by 66, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8887.56
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
The number 66 fits into 400 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 8887.5606
Deduct 396 from 400 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
66 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8887.5606
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
The number 66 fits into 400 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 8887.560606
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
66 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8887.560606
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
When dividing 400 by 66, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8887.56060606
If we take 396 away from 400, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 8887.56060606 with a remainder of 4e-09.