636145 ÷ 38 
Our goal is to divide 636145 by 38.

On to step 1:
The number 38 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 38

Step 2:
63 divided by 38 is 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 38 away from 63, we end up with 25.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 38

Going ahead to step 3:
38 can be fit into 256 6 times, resulting in a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 228 from 256, we get 28.
Fetch the next digit (1) from the dividend, attach it to 28 and continue: 281 / 38

Step 4:
When dividing 281 by 38, we get 7 with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 167.0
Deduct 266 from 281 and we're left with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 38

Step 5:
If we divide 154 by 38, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 1674.0
Subtract 152 from 154 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 38

Moving on to step 6:
When dividing 25 by 38, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 16740.0
The remainder is 25 after subtracting 0 from 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
38 can be fit into 250 6 times, resulting in a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 16740.6
The remainder is 22 after subtracting 228 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
If we divide 220 by 38, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 16740.65
Subtracting 190 from 220 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
When dividing 300 by 38, we get 7 with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 16740.657
Subtract 266 from 300 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
When dividing 340 by 38, we get 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 16740.6578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
If we divide 360 by 38, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 16740.65789
If we take 342 away from 360, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
180 divided by 38 is 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 16740.657894
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
38 goes into 280 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 16740.6578947
Subtract 266 from 280 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
When dividing 140 by 38, we get 3 with a remainder of 26.
The next digit of our result is 3. 
Result so far: 16740.65789473
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 16740.65789473 with a balance of 2.6e-08.