We look at the division of 497674 by 14 
Let's see how many times 14 fits into 497674.

On to step 1:
The number 14 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 14

Advancing to step 2:
49 divided by 14 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 42 from 49 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 14

On to step 3:
14 can be fit into 77 5 times, resulting in a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtract 70 from 77 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 14

Going ahead to step 4:
The number 14 fits into 76 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 355.0
If we subtract 70 from 76, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 14

On to step 5:
14 can be fit into 67 4 times, resulting in a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 3554.0
Deduct 56 from 67 and we're left with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 14

Advancing to step 6:
When dividing 114 by 14, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 35548.0
If we subtract 112 from 114, 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.

Step 7:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 35548.1
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.

Step 8:
When dividing 60 by 14, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 35548.14
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.

Let's proceed to step 9:
If we divide 40 by 14, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 35548.142
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
If we divide 120 by 14, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 35548.1428
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 35548.14285
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.

Going ahead to step 12:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 35548.142857
Subtract 98 from 100 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.

Let's proceed to step 13:
When dividing 20 by 14, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 35548.1428571
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.

Step 14:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 35548.14285714
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.

The quotient of the division is 35548.14285714, and the remainder is 4e-09.