7950 ÷ 51 
We want to divide 7950 by 51.

Going ahead to step 1:
If we divide 7 by 51, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 51

Step 2:
51 goes into 79 1 times with a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 51 from 79 and we're left with 28.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 51

On to step 3:
The number 51 fits into 285 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 255 away from 285, we end up with 30.
Include the next digit (0) from the dividend after 30, then repeat: 300 / 51

Advancing to step 4:
300 divided by 51 is 5 with a remainder of 45.
The next digit of our result is 5. 
Result so far: 155.0
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.

Let's proceed to step 5:
When dividing 450 by 51, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 155.8
Subtract 408 from 450 to 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.

On to step 6:
420 divided by 51 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 155.88
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 155.88 with a balance of 0.012.