We look at the division of 121648 by 3 
We're looking to find how many times 3 goes into 121648.

Advancing to step 1:
3 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

Moving on to step 2:
3 goes into 12 4 times with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 12 from 12 leaves us with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Going ahead to step 3:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 40.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 3

Let's proceed to step 4:
If we divide 16 by 3, we get 5 and a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 405.0
The remainder is 1 after subtracting 15 from 16.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 3

Moving on to step 5:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4054.0
Subtracting 12 from 14 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 3

Advancing to step 6:
28 divided by 3 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 40549.0
Subtract 27 from 28 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.

Moving on to step 7:
10 divided by 3 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 40549.3
If we subtract 9 from 10, 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.

Let's proceed to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 40549.33
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.

In conclusion, the division gives 40549.33 with a balance of 0.001.