We're dividing 434778 by 51 
Let's see how many times 51 fits into 434778.

Advancing to step 1:
51 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 51

Let's proceed to step 2:
51 can be fit into 43 0 times, resulting in a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 51

On to step 3:
The number 51 fits into 434 8 times, leaving a remainder of 26.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 408 from 434 to get 26.
Bring next digit (7) of the dividend behind the 26 and repeat the process: 267 / 51

Moving on to step 4:
51 can be fit into 267 5 times, resulting in a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we take 255 away from 267, we end up with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 51

Let's proceed to step 5:
If we divide 127 by 51, we get 2 and a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 852.0
If we subtract 102 from 127, we get 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 51

Let's proceed to step 6:
51 goes into 258 5 times with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 8525.0
Deduct 255 from 258 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
30 divided by 51 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 8525.0
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.

Let's proceed to step 8:
If we divide 300 by 51, we get 5 and a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 8525.05
Subtracting 255 from 300 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 9:
If we divide 450 by 51, we get 8 and a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 8525.058
If we take 408 away from 450, we end up 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.

Moving on to step 10:
If we divide 420 by 51, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 8525.0588
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.

The final result is 8525.0588 with a remainder of 0.00012.