77121968 ÷ 503 
Our goal is to divide 77121968 by 503.

Moving on to step 1:
7 divided by 503 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 503

Advancing to step 2:
503 can be fit into 77 0 times, resulting in a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Grab the next digit (1) from the dividend, add it to 77, then carry on: 771 / 503

Moving on to step 3:
503 goes into 771 1 times with a remainder of 268.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 503 from 771 to get 268.
Append the next digit (2) from the dividend to 268 and continue with: 2682 / 503

Step 4:
When dividing 2682 by 503, we get 5 with a remainder of 167.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 2515 from 2682 to get 167.
Append the next digit (1) from the dividend to 167 and continue with: 1671 / 503

Advancing to step 5:
The number 503 fits into 1671 3 times, leaving a remainder of 162.
Write down 3 as next digit of the result. 
Result so far: 153.0
The remainder is 162 after subtracting 1509 from 1671.
Take the next digit (9) from the dividend and append it to 162, then repeat: 1629 / 503

Moving on to step 6:
1629 divided by 503 is 3 with a remainder of 120.
The next digit of our result is 3. 
Result so far: 1533.0
If we take 1509 away from 1629, we end up with 120.
Append the next digit (6) from the dividend to 120 and continue with: 1206 / 503

On to step 7:
1206 divided by 503 is 2 with a remainder of 200.
Record the quotient 2 as the next digit in the result. 
Result so far: 15332.0
Deduct 1006 from 1206 and we're left with 200.
Take the next digit (8) from the dividend and append it to 200, then repeat: 2008 / 503

Advancing to step 8:
503 can be fit into 2008 3 times, resulting in a remainder of 499.
Record the quotient 3 as the next digit in the result. 
Result so far: 153323.0
Subtract 1509 from 2008 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.

Going ahead to step 9:
4990 divided by 503 is 9 with a remainder of 463.
Record the quotient 9 as the next digit in the result. 
Result so far: 153323.9
If we subtract 4527 from 4990, we get 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4630, and continue the process.

On to step 10:
If we divide 4630 by 503, we get 9 and a remainder of 103.
Record the quotient 9 as the next digit in the result. 
Result so far: 153323.99
Subtracting 4527 from 4630 leaves us with 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Our division results in 153323.99 with a remaining 0.103.