Let's divide 135365 by 19
We want to figure out the number of times 135365 can be divided by 19.

Advancing to step 1:
19 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 19

Moving on to step 2:
If we divide 13 by 19, we get 0 and a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 19

Moving on to step 3:
If we divide 135 by 19, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 133 from 135 leaves us with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 19

Advancing to step 4:
23 divided by 19 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 71.0
Subtract 19 from 23 to get 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 19

Let's proceed to step 5:
If we divide 46 by 19, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 712.0
Subtracting 38 from 46 leaves us with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 19

On to step 6:
If we divide 85 by 19, we get 4 and a remainder of 9.
The next digit of our result is 4. 
Result so far: 7124.0
Deduct 76 from 85 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
If we divide 90 by 19, we get 4 and a remainder of 14.
The next digit of our result is 4. 
Result so far: 7124.4
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
140 divided by 19 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 7124.47
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
70 divided by 19 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 7124.473
Deduct 57 from 70 and we're left with 13.
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 10:
When dividing 130 by 19, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 7124.4736
Subtract 114 from 130 to get 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 11:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 7124.47368
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 7124.473684
Deduct 76 from 80 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.

Let's proceed to step 13:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 7124.4736842
Deduct 38 from 40 and we're left 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.

Let's proceed to step 14:
When dividing 20 by 19, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 7124.47368421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 7124.47368421 with a remaining 1e-09.