We're dividing 314066 by 19 
We want to figure out the number of times 314066 can be divided by 19.

Step 1:
19 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 19

Moving on to step 2:
31 divided by 19 is 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 19 away from 31, we end up with 12.
Include the next digit (4) from the dividend after 12, then repeat: 124 / 19

Advancing to step 3:
19 goes into 124 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 114 from 124, we get 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 19

On to step 4:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 165.0
Subtract 95 from 100 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 19

Moving on to step 5:
56 divided by 19 is 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 1652.0
Subtract 38 from 56 to get 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 19

On to step 6:
19 goes into 186 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 16529.0
The remainder is 15 after subtracting 171 from 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
If we divide 150 by 19, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 16529.7
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.

Going ahead to step 8:
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: 16529.78
Subtract 152 from 170 to 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.

Step 9:
180 divided by 19 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 16529.789
Deduct 171 from 180 and we're left 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.

Advancing to step 10:
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: 16529.7894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
140 divided by 19 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 16529.78947
If we take 133 away from 140, we end up 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.

On to step 12:
When dividing 70 by 19, we get 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 16529.789473
If we subtract 57 from 70, we get 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 13:
19 goes into 130 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 16529.7894736
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
160 divided by 19 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 16529.78947368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 16529.78947368 with a remainder of 8e-09.