Let's divide 144503 by 19
We want to figure out the number of times 144503 can be divided by 19.

Going ahead to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 19

Let's proceed to step 2:
19 can be fit into 14 0 times, resulting in a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 19

On to step 3:
19 goes into 144 7 times with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 133 from 144 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 19

Advancing to step 4:
If we divide 115 by 19, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 76.0
Deduct 114 from 115 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 19

Advancing to step 5:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 760.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 19

Advancing to step 6:
The number 19 fits into 103 5 times, leaving a remainder of 8.
The next digit of our result is 5. 
Result so far: 7605.0
Subtract 95 from 103 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 7605.4
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
19 goes into 40 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 7605.42
Subtract 38 from 40 to 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 9:
If we divide 20 by 19, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 7605.421
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
When dividing 10 by 19, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 7605.421
Subtracting 0 from 10 leaves us 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.

Step 11:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 7605.42105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
19 goes into 50 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 7605.421052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
19 goes into 120 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 7605.4210526
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 7605.42105263
Subtracting 57 from 60 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 7605.42105263 with a balance of 3e-09.