We look at the division of 575213 by 19 
We're looking to find how many times 19 goes into 575213.

Let's proceed to step 1:
If we divide 5 by 19, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 19

Let's proceed to step 2:
19 can be fit into 57 3 times, resulting in a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 57 from 57 to get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 19

Step 3:
When dividing 5 by 19, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 30.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 19

Going ahead to step 4:
52 divided by 19 is 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 302.0
If we take 38 away from 52, we end up with 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 19

On to step 5:
19 can be fit into 141 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 3027.0
Subtract 133 from 141 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 19

Step 6:
19 can be fit into 83 4 times, resulting in a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 30274.0
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.

On to step 7:
19 can be fit into 70 3 times, resulting in a remainder of 13.
The next digit of our result is 3. 
Result so far: 30274.3
If we subtract 57 from 70, we get 13.
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:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 30274.36
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.

On to step 9:
When dividing 160 by 19, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 30274.368
Subtract 152 from 160 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 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: 30274.3684
Subtract 76 from 80 to 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.

Advancing to step 11:
When dividing 40 by 19, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 30274.36842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
The number 19 fits into 20 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 30274.368421
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.

Step 13:
When dividing 10 by 19, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 30274.368421
Subtract 0 from 10 to get 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:
19 goes into 100 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 30274.36842105
Deduct 95 from 100 and we're left 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 result is 30274.36842105 with a remainder of 5e-09.