We divide 134965 by 19
Our goal is to divide 134965 by 19.

Step 1:
19 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 19

Let's proceed to step 2:
13 divided by 19 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 19

Going ahead to step 3:
19 can be fit into 134 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 133 from 134 and we're left with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 19

Going ahead to step 4:
19 can be fit into 19 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Deduct 19 from 19 and we're left with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 19

Advancing to step 5:
The number 19 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 710.0
If we take 0 away from 6, we end up with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 19

Let's proceed to step 6:
19 can be fit into 65 3 times, resulting in a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 7103.0
Subtracting 57 from 65 leaves us 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.

Let's proceed to step 7:
When dividing 80 by 19, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 7103.4
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.

Let's proceed to step 8:
19 goes into 40 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 7103.42
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.

Moving on to step 9:
19 goes into 20 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 7103.421
Subtracting 19 from 20 leaves us 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:
The number 19 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 7103.421
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7103.42105
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 12:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 7103.421052
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.

On to step 13:
When dividing 120 by 19, we get 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 7103.4210526
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.

On to step 14:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 7103.42105263
If we take 57 away from 60, we end up 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.

Our division results in 7103.42105263 with a remaining 3e-09.