313406 divided by 19 
We want to figure out the number of times 313406 can be divided by 19.

On 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
If we subtract 0 from 3, we get 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.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 19 from 31 leaves us with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 19

Moving on to step 3:
123 divided by 19 is 6 with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 9 after subtracting 114 from 123.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 19

Advancing to step 4:
19 goes into 94 4 times with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 164.0
Deduct 76 from 94 and we're left with 18.
Include the next digit (0) from the dividend after 18, then repeat: 180 / 19

Moving on to step 5:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The next digit of our result is 9. 
Result so far: 1649.0
The remainder is 9 after subtracting 171 from 180.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 19

Step 6:
When dividing 96 by 19, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 16495.0
Subtracting 95 from 96 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.

Let's proceed to step 7:
10 divided by 19 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 16495.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 19 fits into 100 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 16495.05
If we take 95 away from 100, we end up 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.

On to step 9:
When dividing 50 by 19, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 16495.052
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.

Step 10:
120 divided by 19 is 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 16495.0526
Subtracting 114 from 120 leaves us 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.

Let's proceed to step 11:
19 can be fit into 60 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 16495.05263
Deduct 57 from 60 and we're left 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.

Step 12:
19 goes into 30 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 16495.052631
Subtract 19 from 30 to 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.

Advancing to step 13:
19 goes into 110 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 16495.0526315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 14:
150 divided by 19 is 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 16495.05263157
If we take 133 away from 150, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 16495.05263157 with a remainder of 1.7e-08.