We're dividing 309114 by 19 
Let's see how many times 19 fits into 309114.

On to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 19

Let's proceed to step 2:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 11 after subtracting 19 from 30.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 19

On to step 3:
19 goes into 119 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 114 from 119 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 19

On to step 4:
When dividing 51 by 19, we get 2 with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 162.0
If we take 38 away from 51, we end up with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 19

Let's proceed to step 5:
The number 19 fits into 131 6 times, leaving a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 1626.0
Subtract 114 from 131 to get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 19

Let's proceed to step 6:
19 goes into 174 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 16269.0
If we take 171 away from 174, we end up 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.

Let's proceed to step 7:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 16269.1
Deduct 19 from 30 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
If we divide 110 by 19, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 16269.15
If we subtract 95 from 110, we 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.

On to step 9:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 16269.157
Subtract 133 from 150 to 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.

Step 10:
170 divided by 19 is 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 16269.1578
Subtracting 152 from 170 leaves us 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.

Moving on to step 11:
180 divided by 19 is 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 16269.15789
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.

On to step 12:
If we divide 90 by 19, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 16269.157894
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.

Moving on to step 13:
If we divide 140 by 19, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 16269.1578947
Subtract 133 from 140 to get 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:
If we divide 70 by 19, we get 3 and a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 16269.15789473
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 16269.15789473 with a balance of 1.3e-08.