450953 ÷ 19 
Our goal is to divide 450953 by 19.

Advancing to step 1:
The number 19 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 19

Let's proceed to step 2:
The number 19 fits into 45 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 38 away from 45, we end up with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 19

Step 3:
19 goes into 70 3 times with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 23.0
The remainder is 13 after subtracting 57 from 70.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 19

Step 4:
If we divide 139 by 19, we get 7 and a remainder of 6.
The next digit of our result is 7. 
Result so far: 237.0
Deduct 133 from 139 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 19

Going ahead to step 5:
If we divide 65 by 19, we get 3 and a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 2373.0
Deduct 57 from 65 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 19

Moving on to step 6:
If we divide 83 by 19, we get 4 and a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 23734.0
The remainder is 7 after subtracting 76 from 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
19 goes into 70 3 times with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 23734.3
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 8:
130 divided by 19 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 23734.36
Deduct 114 from 130 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
The number 19 fits into 160 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 23734.368
If we subtract 152 from 160, 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.

Let's proceed to step 10:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 23734.3684
Deduct 76 from 80 and we're left 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.

Moving on to step 11:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 23734.36842
Deduct 38 from 40 and we're left with 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 12:
20 divided by 19 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 23734.368421
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
When dividing 10 by 19, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 23734.368421
Deduct 0 from 10 and we're left 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.

Going ahead to step 14:
The number 19 fits into 100 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 23734.36842105
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 23734.36842105, with a leftover of 5e-09.