We're dividing 41648 by 3 
We want to figure out the number of times 41648 can be divided by 3.

Moving on to step 1:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 3 away from 4, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Moving on to step 2:
When dividing 11 by 3, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 9 from 11 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Step 3:
The number 3 fits into 26 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
Deduct 24 from 26 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 3

Advancing to step 4:
3 goes into 24 8 times with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 1388.0
If we take 24 away from 24, we end up with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

Step 5:
The number 3 fits into 8 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 13882.0
Subtract 6 from 8 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
If we divide 20 by 3, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 13882.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 13882.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 13882.66, and the remainder is 0.002.