We look at the division of 742609 by 19 
Our goal is to divide 742609 by 19.

Let's proceed to step 1:
If we divide 7 by 19, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 19

On to step 2:
If we divide 74 by 19, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 57 from 74 to get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 19

Going ahead to step 3:
The number 19 fits into 172 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Deduct 171 from 172 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 19

Step 4:
19 can be fit into 16 0 times, resulting in a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 390.0
Subtracting 0 from 16 leaves us with 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 19

Let's proceed to step 5:
If we divide 160 by 19, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 3908.0
If we subtract 152 from 160, we get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 19

On to step 6:
The number 19 fits into 89 4 times, leaving a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 39084.0
The remainder is 13 after subtracting 76 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
If we divide 130 by 19, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 39084.6
If we take 114 away from 130, we end up 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.

Let's proceed to step 8:
If we divide 160 by 19, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 39084.68
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.

Moving on to step 9:
19 goes into 80 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 39084.684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
When dividing 40 by 19, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 39084.6842
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 39084.68421
Subtract 19 from 20 to get 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 12:
10 divided by 19 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 39084.68421
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.

On to step 13:
If we divide 100 by 19, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 39084.6842105
Deduct 95 from 100 and we're left 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.

Let's proceed to step 14:
If we divide 50 by 19, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 39084.68421052
Subtracting 38 from 50 leaves us 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.

The final result is 39084.68421052 with a remainder of 1.2e-08.