We're dividing 107687 by 3 
We're looking to find how many times 3 goes into 107687.

Advancing to step 1:
3 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 3

On to step 2:
10 divided by 3 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 9 from 10, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

Step 3:
If we divide 17 by 3, we get 5 and a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 35.0
The remainder is 2 after subtracting 15 from 17.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Moving on to step 4:
When dividing 26 by 3, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 358.0
Deduct 24 from 26 and we're left with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Advancing to step 5:
When dividing 28 by 3, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 3589.0
Subtracting 27 from 28 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

Moving on to step 6:
3 can be fit into 17 5 times, resulting in a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 35895.0
Subtracting 15 from 17 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 35895.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 35895.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 35895.66 with a balance of 0.002.