Let's divide 369771 by 38
Our goal is to divide 369771 by 38.

Let's proceed to step 1:
3 divided by 38 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 38

Going ahead to step 2:
36 divided by 38 is 0 with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Fetch the next digit (9) from the dividend, attach it to 36 and continue: 369 / 38

On to step 3:
The number 38 fits into 369 9 times, leaving a remainder of 27.
The next digit of our result is 9. 
Result so far: 9.0
If we take 342 away from 369, we end up with 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 38

Moving on to step 4:
The number 38 fits into 277 7 times, leaving a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 97.0
If we subtract 266 from 277, we get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 38

Moving on to step 5:
117 divided by 38 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 973.0
If we subtract 114 from 117, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 38

Going ahead to step 6:
31 divided by 38 is 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 9730.0
Deduct 0 from 31 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
When dividing 310 by 38, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 9730.8
Subtract 304 from 310 to 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.

Going ahead to step 8:
If we divide 60 by 38, we get 1 and a remainder of 22.
The next digit of our result is 1. 
Result so far: 9730.81
Subtracting 38 from 60 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
220 divided by 38 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 9730.815
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.

Let's proceed to step 10:
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: 9730.8157
Subtracting 266 from 300 leaves us 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.

On to step 11:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 9730.81578
If we subtract 304 from 340, we 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.

Moving on to step 12:
If we divide 360 by 38, we get 9 and a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 9730.815789
Deduct 342 from 360 and we're left 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.

Moving on to step 13:
The number 38 fits into 180 4 times, leaving a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 9730.8157894
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.

Going ahead to step 14:
The number 38 fits into 280 7 times, leaving a remainder of 14.
The next digit of our result is 7. 
Result so far: 9730.81578947
Subtracting 266 from 280 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 9730.81578947 with a balance of 1.4e-08.