Let's divide 6129 by 87
Let's see how many times 87 fits into 6129.

On to step 1:
If we divide 6 by 87, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 87

Advancing to step 2:
61 divided by 87 is 0 with a remainder of 61.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 61, we get 61.
Bring next digit (2) of the dividend behind the 61 and repeat the process: 612 / 87

Let's proceed to step 3:
87 can be fit into 612 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 609 from 612 leaves us with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 87

Let's proceed to step 4:
When dividing 39 by 87, we get 0 with a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 70.0
Subtract 0 from 39 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 5:
When dividing 390 by 87, we get 4 with a remainder of 42.
Write down 4 as next digit of the result. 
Result so far: 70.4
If we subtract 348 from 390, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 6:
87 goes into 420 4 times with a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 70.44
Subtracting 348 from 420 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 70.44 with a balance of 0.072.