We look at the division of 145181 by 38 
We want to figure out the number of times 145181 can be divided by 38.

Let's proceed to step 1:
38 can be fit into 1 0 times, resulting in 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.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 38

On to step 2:
If we divide 14 by 38, we get 0 and a remainder of 14.
The next digit of our result is 0. 
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 / 38

Advancing to step 3:
38 can be fit into 145 3 times, resulting in a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 114 from 145 to get 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 38

On to step 4:
38 can be fit into 311 8 times, resulting in a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Deduct 304 from 311 and we're left with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 38

On to step 5:
If we divide 78 by 38, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 382.0
Deduct 76 from 78 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 38

Going ahead to step 6:
38 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 3820.0
The remainder is 21 after subtracting 0 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
If we divide 210 by 38, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 3820.5
If we subtract 190 from 210, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
When dividing 200 by 38, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 3820.55
Subtracting 190 from 200 leaves us 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.

The quotient of the division is 3820.55, and the remainder is 0.01.