We look at the division of 565214 by 19 
Our goal is to divide 565214 by 19.

Step 1:
5 divided by 19 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 19

Let's proceed to step 2:
The number 19 fits into 56 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 38 from 56 to get 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 19

On to step 3:
19 can be fit into 185 9 times, resulting in a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 29.0
The remainder is 14 after subtracting 171 from 185.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 19

Moving on to step 4:
When dividing 142 by 19, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 297.0
If we subtract 133 from 142, we get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 19

Moving on to step 5:
19 goes into 91 4 times with a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 2974.0
If we subtract 76 from 91, we get 15.
Append the next digit (4) from the dividend to 15 and continue with: 154 / 19

Let's proceed to step 6:
19 can be fit into 154 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 29748.0
If we take 152 away from 154, we end up 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.

Moving on to step 7:
20 divided by 19 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 29748.1
If we subtract 19 from 20, we 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.

Let's proceed to step 8:
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: 29748.1
If we take 0 away from 10, we end up 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.

Moving on to step 9:
If we divide 100 by 19, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 29748.105
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.

On to step 10:
If we divide 50 by 19, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 29748.1052
Deduct 38 from 50 and we're left 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 11:
19 can be fit into 120 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 29748.10526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 12:
When dividing 60 by 19, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 29748.105263
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
19 can be fit into 30 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 29748.1052631
If we subtract 19 from 30, we 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.

Let's proceed to step 14:
19 can be fit into 110 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 29748.10526315
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 29748.10526315 with a remaining 1.5e-08.