We're dividing 8417735 by 677 
We want to figure out the number of times 8417735 can be divided by 677.

On to step 1:
8 divided by 677 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 677

Moving on to step 2:
When dividing 84 by 677, we get 0 with a remainder of 84.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 84 leaves us with 84.
Include the next digit (1) from the dividend after 84, then repeat: 841 / 677

Going ahead to step 3:
677 can be fit into 841 1 times, resulting in a remainder of 164.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 677 from 841, we get 164.
Take the next digit (7) from the dividend and append it to 164, then repeat: 1647 / 677

Going ahead to step 4:
The number 677 fits into 1647 2 times, leaving a remainder of 293.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 1354 away from 1647, we end up with 293.
Fetch the next digit (7) from the dividend, attach it to 293 and continue: 2937 / 677

Moving on to step 5:
If we divide 2937 by 677, we get 4 and a remainder of 229.
Use 4 as the next digit of our solution. 
Result so far: 124.0
Subtracting 2708 from 2937 leaves us with 229.
Fetch the next digit (3) from the dividend, attach it to 229 and continue: 2293 / 677

Going ahead to step 6:
If we divide 2293 by 677, we get 3 and a remainder of 262.
The next digit of our result is 3. 
Result so far: 1243.0
If we subtract 2031 from 2293, we get 262.
Include the next digit (5) from the dividend after 262, then repeat: 2625 / 677

Let's proceed to step 7:
677 can be fit into 2625 3 times, resulting in a remainder of 594.
Record the quotient 3 as the next digit in the result. 
Result so far: 12433.0
Subtract 2031 from 2625 to get 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5940, and continue the process.

On to step 8:
677 goes into 5940 8 times with a remainder of 524.
The next digit of our result is 8. 
Result so far: 12433.8
If we subtract 5416 from 5940, we get 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Moving on to step 9:
677 goes into 5240 7 times with a remainder of 501.
The number 7 becomes the next digit in our result. 
Result so far: 12433.87
If we subtract 4739 from 5240, we get 501.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5010, and continue the process.

Let's proceed to step 10:
5010 divided by 677 is 7 with a remainder of 271.
Use 7 as the next digit of our solution. 
Result so far: 12433.877
If we subtract 4739 from 5010, we get 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

After the division, we end up with 12433.877 and a remainder of 0.0271.