586751 divided by 66 
We want to divide 586751 by 66.

Moving on 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
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 66

Let's proceed to step 2:
If we divide 58 by 66, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 66

Advancing to step 3:
66 can be fit into 586 8 times, resulting in a remainder of 58.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 528 away from 586, we end up with 58.
Take the next digit (7) from the dividend and append it to 58, then repeat: 587 / 66

Going ahead to step 4:
When dividing 587 by 66, we get 8 with a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
Subtracting 528 from 587 leaves us with 59.
Take the next digit (5) from the dividend and append it to 59, then repeat: 595 / 66

On to step 5:
When dividing 595 by 66, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 889.0
The remainder is 1 after subtracting 594 from 595.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 66

Moving on to step 6:
11 divided by 66 is 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 8890.0
Deduct 0 from 11 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
When dividing 110 by 66, we get 1 with a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 8890.1
Subtract 66 from 110 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 8:
When dividing 440 by 66, we get 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 8890.16
Deduct 396 from 440 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
If we divide 440 by 66, we get 6 and a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 8890.166
Deduct 396 from 440 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 8890.166 and a remainder of 0.0044.