Let's divide 129084 by 51
We're looking to find how many times 51 goes into 129084.

Going ahead to step 1:
51 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 51

Step 2:
The number 51 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 51

Going ahead to step 3:
51 can be fit into 129 2 times, resulting in a remainder of 27.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 102 from 129 and we're left with 27.
Bring next digit (0) of the dividend behind the 27 and repeat the process: 270 / 51

Moving on to step 4:
51 can be fit into 270 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtracting 255 from 270 leaves us with 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 51

Going ahead to step 5:
51 can be fit into 158 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 253.0
Subtract 153 from 158 to get 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 51

On to step 6:
When dividing 54 by 51, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 2531.0
Subtract 51 from 54 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
51 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 2531.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
The number 51 fits into 300 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 2531.05
The remainder is 45 after subtracting 255 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
When dividing 450 by 51, we get 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 2531.058
Subtracting 408 from 450 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 10:
If we divide 420 by 51, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 2531.0588
If we take 408 away from 420, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 2531.0588 with a balance of 0.00012.