10000919 ÷ 677 
We want to figure out the number of times 10000919 can be divided by 677.

On to step 1:
677 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 677

Advancing to step 2:
677 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 677

Moving on to step 3:
677 goes into 100 0 times with a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 100 and we're left with 100.
Include the next digit (0) from the dividend after 100, then repeat: 1000 / 677

Advancing to step 4:
When dividing 1000 by 677, we get 1 with a remainder of 323.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 677 from 1000 and we're left with 323.
Bring next digit (0) of the dividend behind the 323 and repeat the process: 3230 / 677

On to step 5:
677 goes into 3230 4 times with a remainder of 522.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 522 after subtracting 2708 from 3230.
Fetch the next digit (9) from the dividend, attach it to 522 and continue: 5229 / 677

Moving on to step 6:
677 goes into 5229 7 times with a remainder of 490.
The number 7 becomes the next digit in our result. 
Result so far: 147.0
If we take 4739 away from 5229, we end up with 490.
Fetch the next digit (1) from the dividend, attach it to 490 and continue: 4901 / 677

Let's proceed to step 7:
When dividing 4901 by 677, we get 7 with a remainder of 162.
The next digit of our result is 7. 
Result so far: 1477.0
If we take 4739 away from 4901, we end up with 162.
Grab the next digit (9) from the dividend, add it to 162, then carry on: 1629 / 677

Going ahead to step 8:
677 can be fit into 1629 2 times, resulting in a remainder of 275.
Use 2 as the next digit of our solution. 
Result so far: 14772.0
If we take 1354 away from 1629, we end up with 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Let's proceed to step 9:
When dividing 2750 by 677, we get 4 with a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 14772.4
Deduct 2708 from 2750 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
677 can be fit into 420 0 times, resulting in a remainder of 420.
Use 0 as the next digit of our solution. 
Result so far: 14772.4
Subtract 0 from 420 to get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Advancing to step 11:
677 goes into 4200 6 times with a remainder of 138.
The number 6 becomes the next digit in our result. 
Result so far: 14772.406
Deduct 4062 from 4200 and we're left with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Let's proceed to step 12:
If we divide 1380 by 677, we get 2 and a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 14772.4062
Deduct 1354 from 1380 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
When dividing 260 by 677, we get 0 with a remainder of 260.
Record the quotient 0 as the next digit in the result. 
Result so far: 14772.4062
The remainder is 260 after subtracting 0 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Going ahead to step 14:
When dividing 2600 by 677, we get 3 with a remainder of 569.
Use 3 as the next digit of our solution. 
Result so far: 14772.406203
Subtracting 2031 from 2600 leaves us with 569.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5690, and continue the process.

Advancing to step 15:
677 can be fit into 5690 8 times, resulting in a remainder of 274.
Put 8 as the next digit of the answer. 
Result so far: 14772.4062038
If we take 5416 away from 5690, we end up with 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

On to step 16:
When dividing 2740 by 677, we get 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 14772.40620384
Subtracting 2708 from 2740 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 14772.40620384, with a leftover of 3.2e-08.