We're dividing 505583 by 77 
We're looking to find how many times 77 goes into 505583.

Moving on to step 1:
The number 77 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 77

Going ahead to step 2:
When dividing 50 by 77, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Append the next digit (5) from the dividend to 50 and continue with: 505 / 77

Step 3:
When dividing 505 by 77, we get 6 with a remainder of 43.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 462 from 505 leaves us with 43.
Include the next digit (5) from the dividend after 43, then repeat: 435 / 77

Step 4:
When dividing 435 by 77, we get 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
If we subtract 385 from 435, we get 50.
Take the next digit (8) from the dividend and append it to 50, then repeat: 508 / 77

Advancing to step 5:
77 goes into 508 6 times with a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 656.0
Subtracting 462 from 508 leaves us with 46.
Grab the next digit (3) from the dividend, add it to 46, then carry on: 463 / 77

Going ahead to step 6:
463 divided by 77 is 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 6566.0
If we subtract 462 from 463, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
77 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6566.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 77 fits into 100 1 times, leaving a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 6566.01
Subtract 77 from 100 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
If we divide 230 by 77, we get 2 and a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 6566.012
Subtracting 154 from 230 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 10:
77 goes into 760 9 times with a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 6566.0129
If we take 693 away from 760, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 11:
If we divide 670 by 77, we get 8 and a remainder of 54.
The next digit of our result is 8. 
Result so far: 6566.01298
Deduct 616 from 670 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 12:
When dividing 540 by 77, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 6566.012987
The remainder is 1 after subtracting 539 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
The number 77 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6566.012987
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
77 can be fit into 100 1 times, resulting in a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 6566.01298701
Deduct 77 from 100 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

In conclusion, the division gives 6566.01298701 with a balance of 2.3e-08.