Let's divide 114527 by 3
Our goal is to divide 114527 by 3.

Going ahead to step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 3

Advancing to step 2:
11 divided by 3 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
If we take 9 away from 11, we end up with 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 3

Let's proceed to step 3:
3 can be fit into 24 8 times, resulting in a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Deduct 24 from 24 and we're left with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 3

On to step 4:
3 goes into 5 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 381.0
If we subtract 3 from 5, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Advancing to step 5:
3 can be fit into 22 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 3817.0
The remainder is 1 after subtracting 21 from 22.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 3

On to step 6:
3 goes into 17 5 times with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 38175.0
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.

Moving on to step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 38175.6
Deduct 18 from 20 and we're left 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.

Step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 38175.66
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.

The quotient of the division is 38175.66, and the remainder is 0.002.