We're dividing 130534 by 19 
Our goal is to divide 130534 by 19.

Step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 19

Advancing to step 2:
If we divide 13 by 19, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 19

Advancing to step 3:
When dividing 130 by 19, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 114 from 130 leaves us with 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 19

Going ahead to step 4:
When dividing 165 by 19, we get 8 with a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Subtracting 152 from 165 leaves us with 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 19

Moving on to step 5:
If we divide 133 by 19, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 687.0
Deduct 133 from 133 and we're left with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 19

Step 6:
If we divide 4 by 19, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 6870.0
Deduct 0 from 4 and we're left 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.

Moving on to step 7:
If we divide 40 by 19, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 6870.2
Subtracting 38 from 40 leaves us 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.

Advancing to step 8:
20 divided by 19 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 6870.21
If we take 19 away from 20, we end up 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 9:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6870.21
Subtracting 0 from 10 leaves us 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.

Let's proceed to step 10:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6870.2105
If we subtract 95 from 100, we 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.

Going ahead to step 11:
19 goes into 50 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 6870.21052
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.

Moving on to step 12:
If we divide 120 by 19, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6870.210526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
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: 6870.2105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 6870.21052631
Subtract 19 from 30 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 6870.21052631 with a remaining 1.1e-08.