We look at the division of 38606609 by 960 
Let's see how many times 960 fits into 38606609.

Going ahead to step 1:
When dividing 3 by 960, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 960

Let's proceed to step 2:
960 goes into 38 0 times with a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Include the next digit (6) from the dividend after 38, then repeat: 386 / 960

Let's proceed to step 3:
960 can be fit into 386 0 times, resulting in a remainder of 386.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 386 after subtracting 0 from 386.
Fetch the next digit (0) from the dividend, attach it to 386 and continue: 3860 / 960

Advancing to step 4:
If we divide 3860 by 960, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 3840 away from 3860, we end up with 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 960

On to step 5:
When dividing 206 by 960, we get 0 with a remainder of 206.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
If we subtract 0 from 206, we get 206.
Include the next digit (6) from the dividend after 206, then repeat: 2066 / 960

Step 6:
If we divide 2066 by 960, we get 2 and a remainder of 146.
Use 2 as the next digit of our solution. 
Result so far: 402.0
Subtracting 1920 from 2066 leaves us with 146.
Grab the next digit (0) from the dividend, add it to 146, then carry on: 1460 / 960

Moving on to step 7:
The number 960 fits into 1460 1 times, leaving a remainder of 500.
The next digit of our result is 1. 
Result so far: 4021.0
Subtract 960 from 1460 to get 500.
Append the next digit (9) from the dividend to 500 and continue with: 5009 / 960

Let's proceed to step 8:
960 can be fit into 5009 5 times, resulting in a remainder of 209.
Write down 5 as next digit of the result. 
Result so far: 40215.0
The remainder is 209 after subtracting 4800 from 5009.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

On to step 9:
960 goes into 2090 2 times with a remainder of 170.
Write down 2 as next digit of the result. 
Result so far: 40215.2
If we take 1920 away from 2090, we end up with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Let's proceed to step 10:
If we divide 1700 by 960, we get 1 and a remainder of 740.
The next digit of our result is 1. 
Result so far: 40215.21
The remainder is 740 after subtracting 960 from 1700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7400, and continue the process.

Moving on to step 11:
The number 960 fits into 7400 7 times, leaving a remainder of 680.
Put 7 as the next digit of the answer. 
Result so far: 40215.217
Deduct 6720 from 7400 and we're left with 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

On to step 12:
960 can be fit into 6800 7 times, resulting in a remainder of 80.
The number 7 becomes the next digit in our result. 
Result so far: 40215.2177
Subtract 6720 from 6800 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 40215.2177 with a balance of 0.0008.