41434 ÷ 12 
Our goal is to divide 41434 by 12.

Going ahead to step 1:
12 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 12

Let's proceed to step 2:
12 goes into 41 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 36 from 41 leaves us with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 12

On to step 3:
12 goes into 54 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 34.0
The remainder is 6 after subtracting 48 from 54.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 12

Advancing to step 4:
If we divide 63 by 12, we get 5 and a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 345.0
Deduct 60 from 63 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 12

On to step 5:
34 divided by 12 is 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 3452.0
Deduct 24 from 34 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
If we divide 100 by 12, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 3452.8
If we subtract 96 from 100, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
When dividing 40 by 12, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3452.83
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
40 divided by 12 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3452.833
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 3452.833, and the remainder is 0.0004.