Let's divide 300943 by 19
We want to divide 300943 by 19.

Moving 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
Subtract 0 from 3 to get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 19

On to step 2:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 19 from 30 to get 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 19

Advancing to step 3:
110 divided by 19 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 95 from 110 and we're left with 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 19

On to step 4:
159 divided by 19 is 8 with a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 158.0
If we take 152 away from 159, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 19

Let's proceed to step 5:
74 divided by 19 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 1583.0
Subtracting 57 from 74 leaves us with 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 19

Going ahead to step 6:
When dividing 173 by 19, we get 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 15839.0
Deduct 171 from 173 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.

Moving on to step 7:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 15839.1
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
19 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 15839.1
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.

Advancing to step 9:
When dividing 100 by 19, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15839.105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 15839.1052
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
120 divided by 19 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 15839.10526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
19 goes into 60 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 15839.105263
Subtract 57 from 60 to 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.

Going ahead to step 13:
If we divide 30 by 19, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 15839.1052631
Subtracting 19 from 30 leaves us 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.

Going ahead to step 14:
19 goes into 110 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15839.10526315
Deduct 95 from 110 and we're left 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.

In conclusion, the division gives 15839.10526315 with a balance of 1.5e-08.