677458 ÷ 44 
We want to figure out the number of times 677458 can be divided by 44.

Advancing to step 1:
6 divided by 44 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 44

Going ahead to step 2:
If we divide 67 by 44, we get 1 and a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 44 from 67 and we're left with 23.
Bring next digit (7) of the dividend behind the 23 and repeat the process: 237 / 44

On to step 3:
If we divide 237 by 44, we get 5 and a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 220 from 237 leaves us with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 44

Advancing to step 4:
44 goes into 174 3 times with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 153.0
If we subtract 132 from 174, we get 42.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 44

Let's proceed to step 5:
When dividing 425 by 44, we get 9 with a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 1539.0
Deduct 396 from 425 and we're left with 29.
Bring next digit (8) of the dividend behind the 29 and repeat the process: 298 / 44

On to step 6:
The number 44 fits into 298 6 times, leaving a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 15396.0
The remainder is 34 after subtracting 264 from 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
44 can be fit into 340 7 times, resulting in a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 15396.7
Subtract 308 from 340 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
44 goes into 320 7 times with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 15396.77
If we take 308 away from 320, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 15396.77, with a leftover of 0.012.