We divide 115606 by 3
We want to divide 115606 by 3.

Step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Let's proceed to step 2:
The number 3 fits into 11 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 9 from 11, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

On to step 3:
The number 3 fits into 25 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 38.0
Deduct 24 from 25 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Moving on to step 4:
3 can be fit into 16 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 385.0
The remainder is 1 after subtracting 15 from 16.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Going ahead to step 5:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3853.0
Deduct 9 from 10 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Going ahead to step 6:
3 can be fit into 16 5 times, resulting in a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 38535.0
The remainder is 1 after subtracting 15 from 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 38535.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 38535.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 38535.33 with a balance of 0.001.