We look at the division of 38586 by 29 
Let's see how many times 29 fits into 38586.

Let's proceed to step 1:
If we divide 3 by 29, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 29

On to step 2:
When dividing 38 by 29, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 29 from 38, we get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 29

On to step 3:
The number 29 fits into 95 3 times, leaving a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 87 from 95 to get 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 29

Advancing to step 4:
88 divided by 29 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 133.0
Subtracting 87 from 88 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 29

Let's proceed to step 5:
The number 29 fits into 16 0 times, leaving a remainder of 16.
The next digit of our result is 0. 
Result so far: 1330.0
If we subtract 0 from 16, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 6:
If we divide 160 by 29, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1330.5
Subtract 145 from 160 to get 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:
29 can be fit into 150 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1330.55
Subtract 145 from 150 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 1330.55 with a remainder of 0.005.