We're dividing 66206651 by 586 
We want to divide 66206651 by 586.

On to step 1:
6 divided by 586 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 586

Let's proceed to step 2:
The number 586 fits into 66 0 times, leaving a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Bring next digit (2) of the dividend behind the 66 and repeat the process: 662 / 586

Moving on to step 3:
If we divide 662 by 586, we get 1 and a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 586 from 662 leaves us with 76.
Fetch the next digit (0) from the dividend, attach it to 76 and continue: 760 / 586

Going ahead to step 4:
The number 586 fits into 760 1 times, leaving a remainder of 174.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 586 away from 760, we end up with 174.
Bring next digit (6) of the dividend behind the 174 and repeat the process: 1746 / 586

Going ahead to step 5:
1746 divided by 586 is 2 with a remainder of 574.
Write down 2 as next digit of the result. 
Result so far: 112.0
Deduct 1172 from 1746 and we're left with 574.
Bring next digit (6) of the dividend behind the 574 and repeat the process: 5746 / 586

Let's proceed to step 6:
586 goes into 5746 9 times with a remainder of 472.
The next digit of our result is 9. 
Result so far: 1129.0
Subtracting 5274 from 5746 leaves us with 472.
Append the next digit (5) from the dividend to 472 and continue with: 4725 / 586

Going ahead to step 7:
If we divide 4725 by 586, we get 8 and a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 11298.0
Deduct 4688 from 4725 and we're left with 37.
Include the next digit (1) from the dividend after 37, then repeat: 371 / 586

Let's proceed to step 8:
When dividing 371 by 586, we get 0 with a remainder of 371.
Write down 0 as next digit of the result. 
Result so far: 112980.0
If we take 0 away from 371, we end up with 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3710, and continue the process.

On to step 9:
586 goes into 3710 6 times with a remainder of 194.
Record the quotient 6 as the next digit in the result. 
Result so far: 112980.6
The remainder is 194 after subtracting 3516 from 3710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

On to step 10:
586 goes into 1940 3 times with a remainder of 182.
The next digit of our result is 3. 
Result so far: 112980.63
If we take 1758 away from 1940, we end up with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Going ahead to step 11:
1820 divided by 586 is 3 with a remainder of 62.
The number 3 becomes the next digit in our result. 
Result so far: 112980.633
Deduct 1758 from 1820 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

In conclusion, the division gives 112980.633 with a balance of 0.0062.