35623 ÷ 38 
Our goal is to divide 35623 by 38.

Moving on to step 1:
38 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 38

On to step 2:
If we divide 35 by 38, we get 0 and a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 38

Moving on to step 3:
If we divide 356 by 38, we get 9 and a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 342 from 356, we get 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 38

Step 4:
If we divide 142 by 38, we get 3 and a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 93.0
If we take 114 away from 142, we end up with 28.
Append the next digit (3) from the dividend to 28 and continue with: 283 / 38

Going ahead to step 5:
The number 38 fits into 283 7 times, leaving a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 937.0
If we take 266 away from 283, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 6:
170 divided by 38 is 4 with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 937.4
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
38 goes into 180 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 937.44
Subtracting 152 from 180 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 937.44, and the remainder is 0.028.