We're dividing 152803 by 38 
We want to divide 152803 by 38.

Step 1:
The number 38 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 38

Let's proceed to step 2:
The number 38 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 38

Advancing to step 3:
38 can be fit into 152 4 times, resulting in a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 152 from 152, we get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 38

Step 4:
38 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 40.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 38

Going ahead to step 5:
If we divide 80 by 38, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 402.0
Subtracting 76 from 80 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 38

On to step 6:
When dividing 43 by 38, we get 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 4021.0
Subtracting 38 from 43 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 38, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 4021.1
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 38 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 4021.13
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
38 goes into 60 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 4021.131
The remainder is 22 after subtracting 38 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 4021.1315
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 11:
The number 38 fits into 300 7 times, leaving a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 4021.13157
If we subtract 266 from 300, we 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 12:
340 divided by 38 is 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 4021.131578
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
38 can be fit into 360 9 times, resulting in a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 4021.1315789
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.

On to step 14:
180 divided by 38 is 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 4021.13157894
Deduct 152 from 180 and we're left 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.

In conclusion, the division gives 4021.13157894 with a balance of 2.8e-08.