We're dividing 11103318 by 503 
We want to figure out the number of times 11103318 can be divided by 503.

Advancing to step 1:
503 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 503

Advancing to step 2:
The number 503 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 503

Let's proceed to step 3:
111 divided by 503 is 0 with a remainder of 111.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 111 leaves us with 111.
Bring next digit (0) of the dividend behind the 111 and repeat the process: 1110 / 503

On to step 4:
If we divide 1110 by 503, we get 2 and a remainder of 104.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 1006 from 1110, we get 104.
Include the next digit (3) from the dividend after 104, then repeat: 1043 / 503

Let's proceed to step 5:
1043 divided by 503 is 2 with a remainder of 37.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
If we subtract 1006 from 1043, we get 37.
Bring next digit (3) of the dividend behind the 37 and repeat the process: 373 / 503

Going ahead to step 6:
When dividing 373 by 503, we get 0 with a remainder of 373.
Use 0 as the next digit of our solution. 
Result so far: 220.0
If we take 0 away from 373, we end up with 373.
Take the next digit (1) from the dividend and append it to 373, then repeat: 3731 / 503

Going ahead to step 7:
503 can be fit into 3731 7 times, resulting in a remainder of 210.
Put 7 as the next digit of the answer. 
Result so far: 2207.0
The remainder is 210 after subtracting 3521 from 3731.
Bring next digit (8) of the dividend behind the 210 and repeat the process: 2108 / 503

Advancing to step 8:
If we divide 2108 by 503, we get 4 and a remainder of 96.
Record the quotient 4 as the next digit in the result. 
Result so far: 22074.0
Deduct 2012 from 2108 and we're left with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Let's proceed to step 9:
503 goes into 960 1 times with a remainder of 457.
The number 1 becomes the next digit in our result. 
Result so far: 22074.1
Subtracting 503 from 960 leaves us with 457.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

Advancing to step 10:
The number 503 fits into 4570 9 times, leaving a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 22074.19
Deduct 4527 from 4570 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 11:
When dividing 430 by 503, we get 0 with a remainder of 430.
The number 0 becomes the next digit in our result. 
Result so far: 22074.19
Subtract 0 from 430 to get 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Going ahead to step 12:
If we divide 4300 by 503, we get 8 and a remainder of 276.
The number 8 becomes the next digit in our result. 
Result so far: 22074.1908
Subtracting 4024 from 4300 leaves us with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Advancing to step 13:
The number 503 fits into 2760 5 times, leaving a remainder of 245.
Use 5 as the next digit of our solution. 
Result so far: 22074.19085
Deduct 2515 from 2760 and we're left with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Let's proceed to step 14:
503 goes into 2450 4 times with a remainder of 438.
Use 4 as the next digit of our solution. 
Result so far: 22074.190854
If we subtract 2012 from 2450, we get 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

Let's proceed to step 15:
503 can be fit into 4380 8 times, resulting in a remainder of 356.
The next digit of our result is 8. 
Result so far: 22074.1908548
If we take 4024 away from 4380, we end up with 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Let's proceed to step 16:
The number 503 fits into 3560 7 times, leaving a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 22074.19085487
Subtract 3521 from 3560 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 22074.19085487 with a balance of 3.9e-08.