We look at the division of 333125 by 19 
We want to divide 333125 by 19.

Step 1:
19 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

On to step 2:
33 divided by 19 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 19 from 33, we get 14.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 19

Going ahead to step 3:
19 goes into 143 7 times with a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 133 away from 143, we end up with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 19

Let's proceed to step 4:
When dividing 101 by 19, we get 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 175.0
Deduct 95 from 101 and we're left with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 19

Moving on to step 5:
The number 19 fits into 62 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 1753.0
Deduct 57 from 62 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 19

Step 6:
When dividing 55 by 19, we get 2 with a remainder of 17.
The next digit of our result is 2. 
Result so far: 17532.0
The remainder is 17 after subtracting 38 from 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
If we divide 170 by 19, we get 8 and a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 17532.8
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
180 divided by 19 is 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 17532.89
Subtracting 171 from 180 leaves us 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.

Let's proceed to step 9:
19 goes into 90 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 17532.894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
19 goes into 140 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 17532.8947
Subtracting 133 from 140 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
19 goes into 70 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 17532.89473
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.

Advancing to step 12:
When dividing 130 by 19, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 17532.894736
If we take 114 away from 130, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
When dividing 160 by 19, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 17532.8947368
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.

Step 14:
80 divided by 19 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 17532.89473684
Subtracting 76 from 80 leaves us 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.

After the division, we end up with 17532.89473684 and a remainder of 4e-09.