We look at the division of 430530 by 51 
We're looking to find how many times 51 goes into 430530.

On to step 1:
51 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 51

Advancing to step 2:
If we divide 43 by 51, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Take the next digit (0) from the dividend and append it to 43, then repeat: 430 / 51

Moving on to step 3:
51 goes into 430 8 times with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 408 from 430 to get 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 51

Step 4:
When dividing 225 by 51, we get 4 with a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 84.0
The remainder is 21 after subtracting 204 from 225.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 51

Step 5:
213 divided by 51 is 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 844.0
If we subtract 204 from 213, we get 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 51

Step 6:
51 goes into 90 1 times with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 8441.0
Subtracting 51 from 90 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
51 can be fit into 390 7 times, resulting in a remainder of 33.
The next digit of our result is 7. 
Result so far: 8441.7
The remainder is 33 after subtracting 357 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
If we divide 330 by 51, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 8441.76
Subtracting 306 from 330 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
240 divided by 51 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 8441.764
If we subtract 204 from 240, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
The number 51 fits into 360 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 8441.7647
The remainder is 3 after subtracting 357 from 360.
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 11:
51 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 8441.7647
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.

On to step 12:
The number 51 fits into 300 5 times, leaving a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 8441.764705
Deduct 255 from 300 and we're left 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.

On to step 13:
450 divided by 51 is 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 8441.7647058
If we subtract 408 from 450, 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.

Moving on to step 14:
If we divide 420 by 51, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 8441.76470588
If we subtract 408 from 420, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 8441.76470588 with a remaining 1.2e-08.