We're dividing 63586 by 6 
Let's see how many times 6 fits into 63586.

On to step 1:
When dividing 6 by 6, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 6 from 6 to get 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 6

On to step 2:
The number 6 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 6

Moving on to step 3:
35 divided by 6 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 105.0
The remainder is 5 after subtracting 30 from 35.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 6

Going ahead to step 4:
6 goes into 58 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 1059.0
If we take 54 away from 58, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 6

Advancing to step 5:
6 goes into 46 7 times with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 10597.0
The remainder is 4 after subtracting 42 from 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 6:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 10597.6
If we take 36 away from 40, 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.

Let's proceed to step 7:
If we divide 40 by 6, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 10597.66
Subtracting 36 from 40 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.

After the division, we end up with 10597.66 and a remainder of 0.004.