Let's divide 312353 by 19
Our goal is to divide 312353 by 19.

Advancing to step 1:
If we divide 3 by 19, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 19

On to step 2:
19 goes into 31 1 times with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 19 from 31 to get 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 19

Going ahead to step 3:
If we divide 122 by 19, we get 6 and a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 114 from 122 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 19

Let's proceed to step 4:
The number 19 fits into 83 4 times, leaving a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 164.0
The remainder is 7 after subtracting 76 from 83.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 19

Step 5:
19 goes into 75 3 times with a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 1643.0
Subtract 57 from 75 to get 18.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 19

Advancing to step 6:
If we divide 183 by 19, we get 9 and a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 16439.0
If we subtract 171 from 183, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
When dividing 120 by 19, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 16439.6
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
When dividing 60 by 19, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 16439.63
Subtracting 57 from 60 leaves us 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.

Let's proceed to step 9:
If we divide 30 by 19, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 16439.631
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.

Moving on to step 10:
If we divide 110 by 19, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 16439.6315
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.

On to step 11:
When dividing 150 by 19, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 16439.63157
Subtract 133 from 150 to 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.

Let's proceed to step 12:
When dividing 170 by 19, we get 8 with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 16439.631578
If we subtract 152 from 170, we get 18.
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 13:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 16439.6315789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 14:
If we divide 90 by 19, we get 4 and a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 16439.63157894
Subtracting 76 from 90 leaves us 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.

The final result is 16439.63157894 with a remainder of 1.4e-08.