We divide 430305 by 77
We want to divide 430305 by 77.

On to step 1:
77 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 77

Let's proceed to step 2:
When dividing 43 by 77, we get 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Fetch the next digit (0) from the dividend, attach it to 43 and continue: 430 / 77

Moving on to step 3:
When dividing 430 by 77, we get 5 with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 45 after subtracting 385 from 430.
Take the next digit (3) from the dividend and append it to 45, then repeat: 453 / 77

Going ahead to step 4:
453 divided by 77 is 5 with a remainder of 68.
Write down 5 as next digit of the result. 
Result so far: 55.0
The remainder is 68 after subtracting 385 from 453.
Fetch the next digit (0) from the dividend, attach it to 68 and continue: 680 / 77

On to step 5:
680 divided by 77 is 8 with a remainder of 64.
The next digit of our result is 8. 
Result so far: 558.0
Subtract 616 from 680 to get 64.
Append the next digit (5) from the dividend to 64 and continue with: 645 / 77

Step 6:
If we divide 645 by 77, we get 8 and a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 5588.0
Subtract 616 from 645 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
The number 77 fits into 290 3 times, leaving a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 5588.3
If we take 231 away from 290, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 8:
The number 77 fits into 590 7 times, leaving a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 5588.37
Deduct 539 from 590 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
When dividing 510 by 77, we get 6 with a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 5588.376
If we take 462 away from 510, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
The number 77 fits into 480 6 times, leaving a remainder of 18.
The next digit of our result is 6. 
Result so far: 5588.3766
Subtracting 462 from 480 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 5588.3766 with a remainder of 0.00018.