677690 ÷ 7 
We want to figure out the number of times 677690 can be divided by 7.

Step 1:
6 divided by 7 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 7

Moving on to step 2:
If we divide 67 by 7, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 4 after subtracting 63 from 67.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 7

Going ahead to step 3:
7 can be fit into 47 6 times, resulting in a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
If we take 42 away from 47, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 7

Advancing to step 4:
56 divided by 7 is 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 968.0
Subtracting 56 from 56 leaves us with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 7

Moving on to step 5:
7 can be fit into 9 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 9681.0
Subtracting 7 from 9 leaves us with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 7

Step 6:
20 divided by 7 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 96812.0
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
60 divided by 7 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 96812.8
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 96812.85
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 96812.857
Deduct 49 from 50 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 7 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 96812.8571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
If we divide 30 by 7, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 96812.85714
If we take 28 away from 30, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
20 divided by 7 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 96812.857142
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
If we divide 60 by 7, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 96812.8571428
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 96812.85714285
Subtracting 35 from 40 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 96812.85714285 with a balance of 5e-09.