We look at the division of 303564 by 38 
Let's see how many times 38 fits into 303564.

Let's proceed to step 1:
When dividing 3 by 38, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 38

On to step 2:
If we divide 30 by 38, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 38

Moving on to step 3:
303 divided by 38 is 7 with a remainder of 37.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 266 from 303 and we're left with 37.
Bring next digit (5) of the dividend behind the 37 and repeat the process: 375 / 38

Moving on to step 4:
375 divided by 38 is 9 with a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 79.0
Subtract 342 from 375 to get 33.
Append the next digit (6) from the dividend to 33 and continue with: 336 / 38

Let's proceed to step 5:
If we divide 336 by 38, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 798.0
Subtracting 304 from 336 leaves us with 32.
Append the next digit (4) from the dividend to 32 and continue with: 324 / 38

Advancing to step 6:
When dividing 324 by 38, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 7988.0
If we subtract 304 from 324, 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.

Step 7:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 7988.5
If we take 190 away from 200, we end up 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.

On to step 8:
The number 38 fits into 100 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 7988.52
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
When dividing 240 by 38, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 7988.526
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
38 can be fit into 120 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 7988.5263
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
If we divide 60 by 38, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 7988.52631
If we subtract 38 from 60, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
38 goes into 220 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 7988.526315
Deduct 190 from 220 and we're left 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.

Step 13:
38 goes into 300 7 times with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 7988.5263157
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 14:
340 divided by 38 is 8 with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 7988.52631578
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.

The quotient of the division is 7988.52631578, and the remainder is 3.6e-08.