We look at the division of 586660 by 29 
We want to divide 586660 by 29.

Let's proceed to step 1:
29 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 29

Moving on to step 2:
When dividing 58 by 29, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 58 away from 58, we end up with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 29

Moving on to step 3:
29 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 29

Advancing to step 4:
29 can be fit into 66 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 202.0
Deduct 58 from 66 and we're left with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 29

Advancing to step 5:
The number 29 fits into 86 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 2022.0
Subtracting 58 from 86 leaves us with 28.
Include the next digit (0) from the dividend after 28, then repeat: 280 / 29

Moving on to step 6:
If we divide 280 by 29, we get 9 and a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 20229.0
The remainder is 19 after subtracting 261 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
29 goes into 190 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 20229.6
Deduct 174 from 190 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
The number 29 fits into 160 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 20229.65
If we take 145 away from 160, we end up 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.

Let's proceed to step 9:
If we divide 150 by 29, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 20229.655
If we take 145 away from 150, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 20229.655 with a balance of 0.0005.