253463 ÷ 19 
Our goal is to divide 253463 by 19.

Step 1:
The number 19 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 19

Step 2:
The number 19 fits into 25 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 19 from 25 to get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 19

Let's proceed to step 3:
19 goes into 63 3 times with a remainder of 6.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 6 after subtracting 57 from 63.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 19

Advancing to step 4:
64 divided by 19 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 133.0
Deduct 57 from 64 and we're left with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 19

Step 5:
19 can be fit into 76 4 times, resulting in a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 1334.0
Deduct 76 from 76 and we're left with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 19

Advancing to step 6:
3 divided by 19 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 13340.0
Subtracting 0 from 3 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.

Going ahead to step 7:
19 goes into 30 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 13340.1
Subtract 19 from 30 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
19 goes into 110 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 13340.15
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
150 divided by 19 is 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 13340.157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 10:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 13340.1578
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
180 divided by 19 is 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 13340.15789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
90 divided by 19 is 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 13340.157894
If we take 76 away from 90, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 13340.1578947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
When dividing 70 by 19, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 13340.15789473
Subtracting 57 from 70 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 13340.15789473 with a remainder of 1.3e-08.