Let's divide 10503 by 77
We're looking to find how many times 77 goes into 10503.

Moving on to step 1:
77 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 77

On to step 2:
10 divided by 77 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 77

Advancing to step 3:
77 goes into 105 1 times with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 77 from 105 to get 28.
Append the next digit (0) from the dividend to 28 and continue with: 280 / 77

Step 4:
The number 77 fits into 280 3 times, leaving a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 231 away from 280, we end up with 49.
Take the next digit (3) from the dividend and append it to 49, then repeat: 493 / 77

Advancing to step 5:
The number 77 fits into 493 6 times, leaving a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
Subtracting 462 from 493 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 6:
When dividing 310 by 77, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 136.4
If we subtract 308 from 310, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
If we divide 20 by 77, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 136.4
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 77 fits into 200 2 times, leaving a remainder of 46.
The next digit of our result is 2. 
Result so far: 136.402
The remainder is 46 after subtracting 154 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 9:
When dividing 460 by 77, we get 5 with a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 136.4025
Subtracting 385 from 460 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 10:
If we divide 750 by 77, we get 9 and a remainder of 57.
The next digit of our result is 9. 
Result so far: 136.40259
Subtracting 693 from 750 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 11:
When dividing 570 by 77, we get 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 136.402597
If we subtract 539 from 570, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 12:
77 goes into 310 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 136.4025974
If we subtract 308 from 310, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
If we divide 20 by 77, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 136.4025974
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 136.4025974 and a remainder of 2e-08.