44966414 ÷ 409 
We're looking to find how many times 409 goes into 44966414.

Advancing to step 1:
409 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 409

On to step 2:
44 divided by 409 is 0 with a remainder of 44.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 44 leaves us with 44.
Fetch the next digit (9) from the dividend, attach it to 44 and continue: 449 / 409

Going ahead to step 3:
409 can be fit into 449 1 times, resulting in a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 409 away from 449, we end up with 40.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 409

Going ahead to step 4:
If we divide 406 by 409, we get 0 and a remainder of 406.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 406 and we're left with 406.
Bring next digit (6) of the dividend behind the 406 and repeat the process: 4066 / 409

Going ahead to step 5:
If we divide 4066 by 409, we get 9 and a remainder of 385.
The next digit of our result is 9. 
Result so far: 109.0
If we take 3681 away from 4066, we end up with 385.
Bring next digit (4) of the dividend behind the 385 and repeat the process: 3854 / 409

Step 6:
When dividing 3854 by 409, we get 9 with a remainder of 173.
Put 9 as the next digit of the answer. 
Result so far: 1099.0
If we subtract 3681 from 3854, we get 173.
Take the next digit (1) from the dividend and append it to 173, then repeat: 1731 / 409

Going ahead to step 7:
When dividing 1731 by 409, we get 4 with a remainder of 95.
Use 4 as the next digit of our solution. 
Result so far: 10994.0
The remainder is 95 after subtracting 1636 from 1731.
Bring next digit (4) of the dividend behind the 95 and repeat the process: 954 / 409

On to step 8:
The number 409 fits into 954 2 times, leaving a remainder of 136.
Use 2 as the next digit of our solution. 
Result so far: 109942.0
If we take 818 away from 954, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Advancing to step 9:
If we divide 1360 by 409, we get 3 and a remainder of 133.
Record the quotient 3 as the next digit in the result. 
Result so far: 109942.3
Subtracting 1227 from 1360 leaves us with 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Advancing to step 10:
If we divide 1330 by 409, we get 3 and a remainder of 103.
Record the quotient 3 as the next digit in the result. 
Result so far: 109942.33
Deduct 1227 from 1330 and we're left with 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

The quotient of the division is 109942.33, and the remainder is 0.103.