We're dividing 421295 by 12 
We're looking to find how many times 12 goes into 421295.

Moving on to step 1:
When dividing 4 by 12, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 12

Let's proceed to step 2:
The number 12 fits into 42 3 times, leaving a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 36 from 42 leaves us with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 12

Step 3:
The number 12 fits into 61 5 times, leaving a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 35.0
If we subtract 60 from 61, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 12

Step 4:
12 goes into 12 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 351.0
Subtract 12 from 12 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 12

Moving on to step 5:
9 divided by 12 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 3510.0
Subtract 0 from 9 to get 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 12

Step 6:
The number 12 fits into 95 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 35107.0
If we subtract 84 from 95, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
12 goes into 110 9 times with a remainder of 2.
The next digit of our result is 9. 
Result so far: 35107.9
If we subtract 108 from 110, 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.

Going ahead to step 8:
The number 12 fits into 20 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 35107.91
Subtracting 12 from 20 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
80 divided by 12 is 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 35107.916
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
12 can be fit into 80 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 35107.9166
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 35107.9166, and the remainder is 8e-05.