65638 divided by 3 
We want to figure out the number of times 65638 can be divided by 3.

Going ahead to step 1:
When dividing 6 by 3, we get 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 6 away from 6, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Advancing to step 2:
3 goes into 5 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtract 3 from 5 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Going ahead to step 3:
The number 3 fits into 26 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 218.0
The remainder is 2 after subtracting 24 from 26.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Step 4:
The number 3 fits into 23 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 2187.0
If we subtract 21 from 23, we get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 3

Step 5:
If we divide 28 by 3, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 21879.0
If we subtract 27 from 28, we 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.

Step 6:
10 divided by 3 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 21879.3
The remainder is 1 after subtracting 9 from 10.
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:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 21879.33
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 21879.33 with a balance of 0.001.