We're dividing 135619 by 75 
We want to figure out the number of times 135619 can be divided by 75.

Step 1:
When dividing 1 by 75, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 75

On to step 2:
75 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 75

Let's proceed to step 3:
When dividing 135 by 75, we get 1 with a remainder of 60.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 75 from 135, we get 60.
Fetch the next digit (6) from the dividend, attach it to 60 and continue: 606 / 75

Advancing to step 4:
606 divided by 75 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtract 600 from 606 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 75

Let's proceed to step 5:
75 goes into 61 0 times with a remainder of 61.
The next digit of our result is 0. 
Result so far: 180.0
If we subtract 0 from 61, we get 61.
Take the next digit (9) from the dividend and append it to 61, then repeat: 619 / 75

On to step 6:
75 can be fit into 619 8 times, resulting in a remainder of 19.
The next digit of our result is 8. 
Result so far: 1808.0
If we take 600 away from 619, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
The number 75 fits into 190 2 times, leaving a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 1808.2
Subtracting 150 from 190 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
If we divide 400 by 75, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 1808.25
If we take 375 away from 400, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
250 divided by 75 is 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 1808.253
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 1808.2533
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 1808.2533, with a leftover of 0.00025.