We're dividing 337957 by 19 
We want to divide 337957 by 19.

Step 1:
When dividing 3 by 19, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 19

On to step 2:
19 goes into 33 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 19 from 33 leaves us with 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 19

Moving on to step 3:
When dividing 147 by 19, we get 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 133 from 147, we get 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 19

Advancing to step 4:
19 goes into 149 7 times with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 177.0
The remainder is 16 after subtracting 133 from 149.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 19

Going ahead to step 5:
When dividing 165 by 19, we get 8 with a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 1778.0
If we subtract 152 from 165, we get 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 19

Going ahead to step 6:
When dividing 137 by 19, we get 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 17787.0
If we subtract 133 from 137, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
40 divided by 19 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 17787.2
Subtracting 38 from 40 leaves us 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.

Going ahead to step 8:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 17787.21
Subtract 19 from 20 to get 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 9:
10 divided by 19 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 17787.21
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.

Advancing to step 10:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 17787.2105
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 11:
50 divided by 19 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 17787.21052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
If we divide 120 by 19, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 17787.210526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 17787.2105263
If we take 57 away from 60, 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.

Advancing to step 14:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 17787.21052631
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.

The quotient of the division is 17787.21052631, and the remainder is 1.1e-08.