We're dividing 302122 by 19 
We're looking to find how many times 19 goes into 302122.

Moving on to step 1:
When dividing 3 by 19, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 19

Step 2:
19 can be fit into 30 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 19 from 30 leaves us with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 19

Let's proceed to step 3:
112 divided by 19 is 5 with a remainder of 17.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 95 away from 112, we end up with 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 19

Going ahead to step 4:
If we divide 171 by 19, we get 9 and a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 159.0
Subtracting 171 from 171 leaves us with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 19

Going ahead to step 5:
When dividing 2 by 19, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 1590.0
If we subtract 0 from 2, we get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 19

Let's proceed to step 6:
When dividing 22 by 19, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 15901.0
Deduct 19 from 22 and we're left 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.

Step 7:
30 divided by 19 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 15901.1
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.

Moving on 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: 15901.15
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
150 divided by 19 is 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 15901.157
The remainder is 17 after subtracting 133 from 150.
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.
The number 8 becomes the next digit in our result. 
Result so far: 15901.1578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 15901.15789
Deduct 171 from 180 and we're left with 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:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 15901.157894
Subtract 76 from 90 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
19 goes into 140 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 15901.1578947
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 14:
19 goes into 70 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 15901.15789473
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.

In conclusion, the division gives 15901.15789473 with a balance of 1.3e-08.