We're dividing 102886 by 30 
We want to figure out the number of times 102886 can be divided by 30.

On to step 1:
When dividing 1 by 30, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 30

Advancing to step 2:
30 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 30

Step 3:
30 can be fit into 102 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 12 after subtracting 90 from 102.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 30

Let's proceed to step 4:
The number 30 fits into 128 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 34.0
If we take 120 away from 128, we end up with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 30

Let's proceed to step 5:
If we divide 88 by 30, we get 2 and a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 342.0
The remainder is 28 after subtracting 60 from 88.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 30

Moving on to step 6:
The number 30 fits into 286 9 times, leaving a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 3429.0
Deduct 270 from 286 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.

Step 7:
When dividing 160 by 30, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 3429.5
Subtract 150 from 160 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
100 divided by 30 is 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 3429.53
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3429.533
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 3429.533 and a remainder of 0.001.