Let's divide 687409 by 19
We want to figure out the number of times 687409 can be divided by 19.

Step 1:
If we divide 6 by 19, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 19

On to step 2:
The number 19 fits into 68 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 57 from 68 leaves us with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 19

Let's proceed to step 3:
117 divided by 19 is 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 36.0
Deduct 114 from 117 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 19

Going ahead to step 4:
If we divide 34 by 19, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 361.0
Subtract 19 from 34 to get 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 19

Advancing to step 5:
150 divided by 19 is 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 3617.0
Subtract 133 from 150 to get 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 19

Step 6:
When dividing 179 by 19, we get 9 with a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 36179.0
Deduct 171 from 179 and we're left 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.

Moving on to step 7:
19 can be fit into 80 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 36179.4
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.

Step 8:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 36179.42
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
If we divide 20 by 19, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 36179.421
Deduct 19 from 20 and we're left 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.

Moving on to step 10:
19 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 36179.421
The remainder is 10 after subtracting 0 from 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 11:
19 goes into 100 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 36179.42105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
When dividing 50 by 19, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 36179.421052
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.

Step 13:
19 goes into 120 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 36179.4210526
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.

Step 14:
If we divide 60 by 19, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 36179.42105263
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 36179.42105263 and a remainder of 3e-09.