We divide 258503 by 19
Let's see how many times 19 fits into 258503.

Going ahead to step 1:
2 divided by 19 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 19

Moving on to step 2:
19 can be fit into 25 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 19 away from 25, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 19

Let's proceed to step 3:
68 divided by 19 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 13.0
If we subtract 57 from 68, we get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 19

Let's proceed to step 4:
When dividing 115 by 19, we get 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 136.0
The remainder is 1 after subtracting 114 from 115.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 19

Let's proceed to step 5:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 1360.0
Subtract 0 from 10 to get 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 19

Moving on to step 6:
103 divided by 19 is 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 13605.0
If we subtract 95 from 103, we 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.

Step 7:
If we divide 80 by 19, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 13605.4
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
40 divided by 19 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 13605.42
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.

Step 9:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 13605.421
Deduct 19 from 20 and we're left 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.

Let's proceed to step 10:
10 divided by 19 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 13605.421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 13605.42105
If we subtract 95 from 100, we 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.

Let's proceed to step 12:
If we divide 50 by 19, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 13605.421052
Subtracting 38 from 50 leaves us 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.

Let's proceed to step 13:
When dividing 120 by 19, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 13605.4210526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 14:
60 divided by 19 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 13605.42105263
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.

The quotient of the division is 13605.42105263, and the remainder is 3e-09.