We're dividing 38770 by 65 
We're looking to find how many times 65 goes into 38770.

Moving on to step 1:
When dividing 3 by 65, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 65

Step 2:
38 divided by 65 is 0 with a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Grab the next digit (7) from the dividend, add it to 38, then carry on: 387 / 65

Advancing to step 3:
If we divide 387 by 65, we get 5 and a remainder of 62.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 325 from 387 and we're left with 62.
Append the next digit (7) from the dividend to 62 and continue with: 627 / 65

Moving on to step 4:
If we divide 627 by 65, we get 9 and a remainder of 42.
Use 9 as the next digit of our solution. 
Result so far: 59.0
If we take 585 away from 627, we end up with 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 65

On to step 5:
When dividing 420 by 65, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 596.0
Subtracting 390 from 420 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.

Advancing to step 6:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 596.4
If we take 260 away from 300, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
65 goes into 400 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 596.46
If we take 390 away from 400, 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.

Step 8:
100 divided by 65 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 596.461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
When dividing 350 by 65, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 596.4615
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
250 divided by 65 is 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 596.46153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 11:
65 goes into 550 8 times with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 596.461538
Subtracting 520 from 550 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.

Moving on to step 12:
300 divided by 65 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 596.4615384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
65 goes into 400 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 596.46153846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 596.46153846 with a balance of 1e-08.