We're dividing 677587 by 14 
Our goal is to divide 677587 by 14.

Going ahead to step 1:
When dividing 6 by 14, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 14

Advancing to step 2:
When dividing 67 by 14, we get 4 with a remainder of 11.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 56 from 67 to get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 14

Advancing to step 3:
The number 14 fits into 117 8 times, leaving a remainder of 5.
The next digit of our result is 8. 
Result so far: 48.0
If we subtract 112 from 117, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 14

Let's proceed to step 4:
If we divide 55 by 14, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 483.0
If we take 42 away from 55, we end up with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 14

Step 5:
138 divided by 14 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 4839.0
Deduct 126 from 138 and we're left with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 14

Let's proceed to step 6:
If we divide 127 by 14, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 48399.0
Deduct 126 from 127 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.

Let's proceed to step 7:
14 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 48399.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
100 divided by 14 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 48399.07
The remainder is 2 after subtracting 98 from 100.
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:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 48399.071
Subtracting 14 from 20 leaves us 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.

Advancing to step 10:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 48399.0714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
14 goes into 40 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 48399.07142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 48399.071428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
80 divided by 14 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 48399.0714285
Subtract 70 from 80 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
100 divided by 14 is 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 48399.07142857
If we subtract 98 from 100, 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.

Our division results in 48399.07142857 with a remaining 2e-09.