We look at the division of 114871 by 3 
We're looking to find how many times 3 goes into 114871.

Let's proceed 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.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Let's proceed to step 2:
If we divide 11 by 3, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 9 from 11 to get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 3

Moving on to step 3:
3 can be fit into 24 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Subtract 24 from 24 to get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

On to step 4:
When dividing 8 by 3, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 382.0
If we take 6 away from 8, we end up with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 3

Advancing to step 5:
When dividing 27 by 3, we get 9 with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 3829.0
The remainder is 0 after subtracting 27 from 27.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 3

Advancing to step 6:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 38290.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 38290.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 38290.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 38290.33, with a leftover of 0.001.