We're dividing 145667 by 18 
We want to figure out the number of times 145667 can be divided by 18.

Step 1:
When dividing 1 by 18, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 18

Let's proceed to step 2:
If we divide 14 by 18, we get 0 and a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 18

Going ahead to step 3:
When dividing 145 by 18, we get 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 8.0
If we take 144 away from 145, we end up with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 18

Let's proceed to step 4:
If we divide 16 by 18, we get 0 and a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 80.0
If we subtract 0 from 16, we get 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 18

Moving on to step 5:
18 can be fit into 166 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 809.0
Deduct 162 from 166 and we're left with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 18

Step 6:
The number 18 fits into 47 2 times, leaving a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 8092.0
Deduct 36 from 47 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
The number 18 fits into 110 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 8092.6
Subtract 108 from 110 to get 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:
If we divide 20 by 18, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 8092.61
Subtract 18 from 20 to get 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 9:
When dividing 20 by 18, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 8092.611
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 8092.611 with a remaining 0.0002.