We're dividing 416569 by 12 
We're looking to find how many times 12 goes into 416569.

Step 1:
If we divide 4 by 12, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 12

Going ahead to step 2:
12 can be fit into 41 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 3.0
If we take 36 away from 41, we end up with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 12

Let's proceed to step 3:
When dividing 56 by 12, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Deduct 48 from 56 and we're left with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 12

Moving on to step 4:
If we divide 85 by 12, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 347.0
Deduct 84 from 85 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 12

Let's proceed to step 5:
12 goes into 16 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 3471.0
If we take 12 away from 16, we end up with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 12

Step 6:
If we divide 49 by 12, we get 4 and a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 34714.0
Deduct 48 from 49 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.

On to step 7:
If we divide 10 by 12, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 34714.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 12 fits into 100 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 34714.08
If we take 96 away from 100, we end up 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.

Let's proceed to step 9:
12 can be fit into 40 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 34714.083
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.

Step 10:
When dividing 40 by 12, we get 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 34714.0833
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 34714.0833 with a remaining 4e-05.