We look at the division of 419549 by 866 
We want to figure out the number of times 419549 can be divided by 866.

Let's proceed to step 1:
The number 866 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 866

Going ahead to step 2:
866 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 866

On to step 3:
866 can be fit into 419 0 times, resulting in a remainder of 419.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 419, we get 419.
Grab the next digit (5) from the dividend, add it to 419, then carry on: 4195 / 866

Step 4:
866 can be fit into 4195 4 times, resulting in a remainder of 731.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 731 after subtracting 3464 from 4195.
Append the next digit (4) from the dividend to 731 and continue with: 7314 / 866

On to step 5:
866 goes into 7314 8 times with a remainder of 386.
Use 8 as the next digit of our solution. 
Result so far: 48.0
If we subtract 6928 from 7314, we get 386.
Take the next digit (9) from the dividend and append it to 386, then repeat: 3869 / 866

On to step 6:
3869 divided by 866 is 4 with a remainder of 405.
The next digit of our result is 4. 
Result so far: 484.0
If we subtract 3464 from 3869, we get 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Moving on to step 7:
866 can be fit into 4050 4 times, resulting in a remainder of 586.
Record the quotient 4 as the next digit in the result. 
Result so far: 484.4
Subtracting 3464 from 4050 leaves us with 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

Going ahead to step 8:
The number 866 fits into 5860 6 times, leaving a remainder of 664.
Use 6 as the next digit of our solution. 
Result so far: 484.46
If we take 5196 away from 5860, we end up with 664.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6640, and continue the process.

On to step 9:
The number 866 fits into 6640 7 times, leaving a remainder of 578.
Put 7 as the next digit of the answer. 
Result so far: 484.467
Subtracting 6062 from 6640 leaves us with 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Moving on to step 10:
When dividing 5780 by 866, we get 6 with a remainder of 584.
The next digit of our result is 6. 
Result so far: 484.4676
Subtracting 5196 from 5780 leaves us with 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Advancing to step 11:
When dividing 5840 by 866, we get 6 with a remainder of 644.
Put 6 as the next digit of the answer. 
Result so far: 484.46766
Deduct 5196 from 5840 and we're left with 644.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

The final result is 484.46766 with a remainder of 0.000644.