We look at the division of 337975 by 19 
Our goal is to divide 337975 by 19.

Let's proceed to step 1:
19 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 19

Advancing to step 2:
19 goes into 33 1 times with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 19 from 33 and we're left with 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 19

Moving on to step 3:
When dividing 147 by 19, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtracting 133 from 147 leaves us with 14.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 19

Advancing to step 4:
149 divided by 19 is 7 with a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 177.0
Subtracting 133 from 149 leaves us with 16.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 19

On to step 5:
19 can be fit into 167 8 times, resulting in a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 1778.0
Subtract 152 from 167 to get 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 19

Let's proceed to step 6:
19 goes into 155 8 times with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 17788.0
Subtract 152 from 155 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.

Moving on to 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: 17788.1
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.

On to step 8:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 17788.15
Subtracting 95 from 110 leaves us 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.

Step 9:
If we divide 150 by 19, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 17788.157
If we subtract 133 from 150, we 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.

Moving on to step 10:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 17788.1578
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.

Advancing to step 11:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 17788.15789
If we take 171 away from 180, we end up 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.

Advancing 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: 17788.157894
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.

Advancing to step 13:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 17788.1578947
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.

Going ahead to step 14:
70 divided by 19 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 17788.15789473
Deduct 57 from 70 and we're left with 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 17788.15789473 with a balance of 1.3e-08.