Let's divide 146509 by 38
We're looking to find how many times 38 goes into 146509.

On to step 1:
38 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 38

On to step 2:
14 divided by 38 is 0 with 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.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 38

Going ahead to step 3:
38 goes into 146 3 times with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 114 from 146 and we're left with 32.
Grab the next digit (5) from the dividend, add it to 32, then carry on: 325 / 38

Going ahead to step 4:
The number 38 fits into 325 8 times, leaving a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
The remainder is 21 after subtracting 304 from 325.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 38

Moving on to step 5:
If we divide 210 by 38, we get 5 and a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 385.0
Subtracting 190 from 210 leaves us with 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 38

Going ahead to step 6:
The number 38 fits into 209 5 times, leaving a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 3855.0
Deduct 190 from 209 and we're left 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.

Advancing to step 7:
If we divide 190 by 38, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 3855.5
The remainder is 0 after subtracting 190 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
The number 38 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 3855.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
If we divide 0 by 38, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 3855.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 3855.5, and the remainder is 0.0.