Let's divide 677314 by 7
Our goal is to divide 677314 by 7.

On to step 1:
The number 7 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 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
If we subtract 63 from 67, we get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 7

Let's proceed to step 3:
7 goes into 47 6 times with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Subtracting 42 from 47 leaves us with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 7

Moving on to step 4:
If we divide 53 by 7, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 967.0
The remainder is 4 after subtracting 49 from 53.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Going ahead to step 5:
The number 7 fits into 41 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 9675.0
Subtracting 35 from 41 leaves us with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 7

Moving on to step 6:
If we divide 64 by 7, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 96759.0
If we subtract 63 from 64, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
When dividing 10 by 7, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 96759.1
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 96759.14
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 96759.142
If we subtract 14 from 20, we 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.

On to step 10:
60 divided by 7 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 96759.1428
Subtracting 56 from 60 leaves us 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.

Step 11:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 96759.14285
If we subtract 35 from 40, we get 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 12:
7 goes into 50 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 96759.142857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
10 divided by 7 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 96759.1428571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
When dividing 30 by 7, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 96759.14285714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 96759.14285714, and the remainder is 2e-09.