Let's divide 687319 by 19
We want to divide 687319 by 19.

On to step 1:
19 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 19

On to step 2:
19 can be fit into 68 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 57 from 68 to get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 19

Going ahead to step 3:
19 can be fit into 117 6 times, resulting in a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 36.0
Deduct 114 from 117 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 19

Advancing to step 4:
The number 19 fits into 33 1 times, leaving a remainder of 14.
The next digit of our result is 1. 
Result so far: 361.0
Subtracting 19 from 33 leaves us with 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 19

Step 5:
When dividing 141 by 19, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 3617.0
Deduct 133 from 141 and we're left with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 19

Going ahead to step 6:
89 divided by 19 is 4 with a remainder of 13.
The next digit of our result is 4. 
Result so far: 36174.0
Subtracting 76 from 89 leaves us 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.

Moving on to step 7:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 36174.6
Subtracting 114 from 130 leaves us 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.

Step 8:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 36174.68
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.

Going ahead to step 9:
When dividing 80 by 19, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 36174.684
If we take 76 away from 80, we end up 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.

Let's proceed to step 10:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 36174.6842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
19 can be fit into 20 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 36174.68421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
19 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 36174.68421
If we take 0 away from 10, we end up 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.

Advancing to step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 36174.6842105
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.

Moving on to step 14:
When dividing 50 by 19, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 36174.68421052
If we subtract 38 from 50, 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.

After the division, we end up with 36174.68421052 and a remainder of 1.2e-08.