We look at the division of 77558918 by 503 
Our goal is to divide 77558918 by 503.

Going ahead to step 1:
If we divide 7 by 503, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 503

Moving on to step 2:
When dividing 77 by 503, we get 0 with a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Include the next digit (5) from the dividend after 77, then repeat: 775 / 503

Moving on to step 3:
When dividing 775 by 503, we get 1 with a remainder of 272.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 503 from 775, we get 272.
Bring next digit (5) of the dividend behind the 272 and repeat the process: 2725 / 503

Moving on to step 4:
503 can be fit into 2725 5 times, resulting in a remainder of 210.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 2515 from 2725 and we're left with 210.
Grab the next digit (8) from the dividend, add it to 210, then carry on: 2108 / 503

Let's proceed to step 5:
When dividing 2108 by 503, we get 4 with a remainder of 96.
Write down 4 as next digit of the result. 
Result so far: 154.0
The remainder is 96 after subtracting 2012 from 2108.
Include the next digit (9) from the dividend after 96, then repeat: 969 / 503

On to step 6:
The number 503 fits into 969 1 times, leaving a remainder of 466.
Use 1 as the next digit of our solution. 
Result so far: 1541.0
Subtracting 503 from 969 leaves us with 466.
Take the next digit (1) from the dividend and append it to 466, then repeat: 4661 / 503

Step 7:
The number 503 fits into 4661 9 times, leaving a remainder of 134.
Put 9 as the next digit of the answer. 
Result so far: 15419.0
If we subtract 4527 from 4661, we get 134.
Append the next digit (8) from the dividend to 134 and continue with: 1348 / 503

Advancing to step 8:
If we divide 1348 by 503, we get 2 and a remainder of 342.
The number 2 becomes the next digit in our result. 
Result so far: 154192.0
The remainder is 342 after subtracting 1006 from 1348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

On to step 9:
3420 divided by 503 is 6 with a remainder of 402.
Put 6 as the next digit of the answer. 
Result so far: 154192.6
If we subtract 3018 from 3420, we get 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Let's proceed to step 10:
503 can be fit into 4020 7 times, resulting in a remainder of 499.
Use 7 as the next digit of our solution. 
Result so far: 154192.67
Subtract 3521 from 4020 to get 499.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4990, and continue the process.

On to step 11:
503 goes into 4990 9 times with a remainder of 463.
Write down 9 as next digit of the result. 
Result so far: 154192.679
Subtracting 4527 from 4990 leaves us with 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4630, and continue the process.

Moving on to step 12:
503 can be fit into 4630 9 times, resulting in a remainder of 103.
The number 9 becomes the next digit in our result. 
Result so far: 154192.6799
Subtract 4527 from 4630 to get 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

In conclusion, the division gives 154192.6799 with a balance of 0.00103.