We look at the division of 137812 by 19 
Our goal is to divide 137812 by 19.

Going ahead to step 1:
1 divided by 19 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 19

Step 2:
19 goes into 13 0 times with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 19

Going ahead to step 3:
When dividing 137 by 19, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 4 after subtracting 133 from 137.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 19

Moving on to step 4:
The number 19 fits into 48 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 72.0
If we take 38 away from 48, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 19

On to step 5:
19 can be fit into 101 5 times, resulting in a remainder of 6.
The next digit of our result is 5. 
Result so far: 725.0
The remainder is 6 after subtracting 95 from 101.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 19

Let's proceed to step 6:
The number 19 fits into 62 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 7253.0
Subtract 57 from 62 to get 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 7:
19 goes into 50 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 7253.2
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 7253.26
If we take 114 away from 120, we end up 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.

On to step 9:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 7253.263
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.

Advancing to step 10:
When dividing 30 by 19, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 7253.2631
The remainder is 11 after subtracting 19 from 30.
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 11:
If we divide 110 by 19, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 7253.26315
If we take 95 away from 110, we end up with 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 12:
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: 7253.263157
Deduct 133 from 150 and we're left 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.

Step 13:
When dividing 170 by 19, we get 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 7253.2631578
If we subtract 152 from 170, we 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.

Advancing to step 14:
If we divide 180 by 19, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 7253.26315789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 7253.26315789, and the remainder is 9e-09.