684163 divided by 13 
We want to divide 684163 by 13.

Going ahead to step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 13

Let's proceed to step 2:
13 can be fit into 68 5 times, resulting in a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 3 after subtracting 65 from 68.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 13

Advancing to step 3:
13 can be fit into 34 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Deduct 26 from 34 and we're left with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 13

Step 4:
When dividing 81 by 13, we get 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 526.0
Subtract 78 from 81 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 13

Let's proceed to step 5:
13 can be fit into 36 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 5262.0
If we take 26 away from 36, we end up with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 13

On to step 6:
13 can be fit into 103 7 times, resulting in a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 52627.0
Subtract 91 from 103 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 52627.9
Subtracting 117 from 120 leaves us 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.

Moving on to step 8:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 52627.92
Subtract 26 from 30 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.

Advancing to step 9:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 52627.923
Subtracting 39 from 40 leaves us 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 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 52627.923
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.

Step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 52627.92307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 52627.923076
If we take 78 away from 90, 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.

Going ahead to step 13:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 52627.9230769
Subtracting 117 from 120 leaves us 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.

Let's proceed to step 14:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 52627.92307692
Subtract 26 from 30 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.

The quotient of the division is 52627.92307692, and the remainder is 4e-09.