We look at the division of 44414178 by 676 
We're looking to find how many times 676 goes into 44414178.

Advancing to step 1:
The number 676 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 676

On to step 2:
The number 676 fits into 44 0 times, leaving a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 44, we get 44.
Fetch the next digit (4) from the dividend, attach it to 44 and continue: 444 / 676

Let's proceed to step 3:
676 can be fit into 444 0 times, resulting in a remainder of 444.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 444 to get 444.
Grab the next digit (1) from the dividend, add it to 444, then carry on: 4441 / 676

Let's proceed to step 4:
676 goes into 4441 6 times with a remainder of 385.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 4056 from 4441 leaves us with 385.
Include the next digit (4) from the dividend after 385, then repeat: 3854 / 676

Moving on to step 5:
If we divide 3854 by 676, we get 5 and a remainder of 474.
The next digit of our result is 5. 
Result so far: 65.0
Subtract 3380 from 3854 to get 474.
Grab the next digit (1) from the dividend, add it to 474, then carry on: 4741 / 676

Going ahead to step 6:
If we divide 4741 by 676, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 657.0
Deduct 4732 from 4741 and we're left with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 676

Going ahead to step 7:
The number 676 fits into 97 0 times, leaving a remainder of 97.
The next digit of our result is 0. 
Result so far: 6570.0
Subtract 0 from 97 to get 97.
Bring next digit (8) of the dividend behind the 97 and repeat the process: 978 / 676

Going ahead to step 8:
676 goes into 978 1 times with a remainder of 302.
The next digit of our result is 1. 
Result so far: 65701.0
Subtract 676 from 978 to get 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

Let's proceed to step 9:
When dividing 3020 by 676, we get 4 with a remainder of 316.
Put 4 as the next digit of the answer. 
Result so far: 65701.4
Subtract 2704 from 3020 to get 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 10:
676 can be fit into 3160 4 times, resulting in a remainder of 456.
Write down 4 as next digit of the result. 
Result so far: 65701.44
If we take 2704 away from 3160, we end up with 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

The quotient of the division is 65701.44, and the remainder is 0.456.