508301 ÷ 77 
We want to divide 508301 by 77.

Step 1:
77 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 77

Step 2:
77 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Fetch the next digit (8) from the dividend, attach it to 50 and continue: 508 / 77

Advancing to step 3:
The number 77 fits into 508 6 times, leaving a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 462 from 508 to get 46.
Take the next digit (3) from the dividend and append it to 46, then repeat: 463 / 77

Going ahead to step 4:
77 goes into 463 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we take 462 away from 463, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 77

Going ahead to step 5:
When dividing 10 by 77, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 660.0
If we subtract 0 from 10, we get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 77

Moving on to step 6:
The number 77 fits into 101 1 times, leaving a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 6601.0
If we take 77 away from 101, we end up 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.

Going ahead to step 7:
77 can be fit into 240 3 times, resulting in a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 6601.3
If we take 231 away from 240, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
The number 77 fits into 90 1 times, leaving a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 6601.31
If we subtract 77 from 90, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
130 divided by 77 is 1 with a remainder of 53.
The next digit of our result is 1. 
Result so far: 6601.311
Deduct 77 from 130 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The final outcome is 6601.311, with a leftover of 0.0053.