We look at the division of 645667 by 14 
Let's see how many times 14 fits into 645667.

Moving on to step 1:
If we divide 6 by 14, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 14

Let's proceed to step 2:
14 can be fit into 64 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 56 from 64, we get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 14

Advancing to step 3:
When dividing 85 by 14, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
The remainder is 1 after subtracting 84 from 85.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 14

On to step 4:
If we divide 16 by 14, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 461.0
Subtracting 14 from 16 leaves us with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 14

On to step 5:
14 can be fit into 26 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 4611.0
If we take 14 away from 26, we end up with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 14

Advancing to step 6:
14 goes into 127 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 46119.0
Subtract 126 from 127 to 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.

Advancing to step 7:
10 divided by 14 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 46119.0
Subtract 0 from 10 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.

Advancing to step 8:
If we divide 100 by 14, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 46119.07
Deduct 98 from 100 and we're left 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.

Going ahead to step 9:
If we divide 20 by 14, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 46119.071
If we take 14 away from 20, we end up 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.

Going ahead to step 10:
When dividing 60 by 14, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 46119.0714
Subtract 56 from 60 to get 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 11:
40 divided by 14 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 46119.07142
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.

Advancing to step 12:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 46119.071428
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
The number 14 fits into 80 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 46119.0714285
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.

Moving on to step 14:
100 divided by 14 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 46119.07142857
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.

The quotient of the division is 46119.07142857, and the remainder is 2e-09.