We're dividing 341994 by 19 
Let's see how many times 19 fits into 341994.

On to step 1:
19 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 19

Let's proceed to step 2:
When dividing 34 by 19, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 19 from 34 leaves us with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 19

On to step 3:
19 can be fit into 151 7 times, resulting in a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 133 from 151 and we're left with 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 19

Going ahead to step 4:
When dividing 189 by 19, we get 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 179.0
If we subtract 171 from 189, we get 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 19

Step 5:
The number 19 fits into 189 9 times, leaving a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 1799.0
If we subtract 171 from 189, we get 18.
Bring next digit (4) of the dividend behind the 18 and repeat the process: 184 / 19

Going ahead to step 6:
If we divide 184 by 19, we get 9 and a remainder of 13.
The next digit of our result is 9. 
Result so far: 17999.0
Subtract 171 from 184 to 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.

Moving on to step 7:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 17999.6
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
160 divided by 19 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 17999.68
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 19, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 17999.684
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
When dividing 40 by 19, we get 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 17999.6842
If we take 38 away from 40, 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.

Step 11:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 17999.68421
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 12:
19 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 17999.68421
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.

Let's proceed to step 13:
19 goes into 100 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 17999.6842105
Subtracting 95 from 100 leaves us 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.

Step 14:
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: 17999.68421052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 17999.68421052 with a remainder of 1.2e-08.