We're dividing 145135 by 18 
We're looking to find how many times 18 goes into 145135.

Step 1:
When dividing 1 by 18, we get 0 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.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 18

Step 2:
18 can be fit into 14 0 times, resulting in a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 18

Let's proceed to step 3:
18 goes into 145 8 times with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 144 from 145 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 18

Advancing to step 4:
When dividing 11 by 18, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 80.0
Subtract 0 from 11 to get 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 18

Moving on to step 5:
113 divided by 18 is 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 806.0
Deduct 108 from 113 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 18

Let's proceed to step 6:
55 divided by 18 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 8063.0
Deduct 54 from 55 and we're left 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.

Going ahead to step 7:
The number 18 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8063.0
If we subtract 0 from 10, we 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 8:
The number 18 fits into 100 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8063.05
If we take 90 away from 100, we end up 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.

On to step 9:
18 can be fit into 100 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 8063.055
If we subtract 90 from 100, we 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.

Our division results in 8063.055 with a remaining 0.001.