We divide 337600 by 19
We want to divide 337600 by 19.

On to step 1:
3 divided by 19 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 19

Advancing to step 2:
If we divide 33 by 19, we get 1 and a remainder of 14.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 19 from 33 to get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 19

On to step 3:
19 goes into 147 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 133 from 147 and we're left with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 19

Advancing to step 4:
19 goes into 146 7 times with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 177.0
Subtracting 133 from 146 leaves us with 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 19

On to step 5:
19 goes into 130 6 times with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 1776.0
If we subtract 114 from 130, we get 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 19

Advancing to step 6:
If we divide 160 by 19, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 17768.0
If we take 152 away from 160, we end up 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.

Advancing to step 7:
When dividing 80 by 19, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 17768.4
Subtract 76 from 80 to 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 8:
19 goes into 40 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 17768.42
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 9:
When dividing 20 by 19, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 17768.421
Subtracting 19 from 20 leaves us 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.

On to step 10:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 17768.421
Deduct 0 from 10 and we're left 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.

Moving on to step 11:
19 goes into 100 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 17768.42105
The remainder is 5 after subtracting 95 from 100.
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 12:
50 divided by 19 is 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 17768.421052
Deduct 38 from 50 and we're left 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.

Moving on to step 13:
If we divide 120 by 19, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 17768.4210526
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 17768.42105263
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.

After the division, we end up with 17768.42105263 and a remainder of 3e-09.