684781 divided by 13 
Our goal is to divide 684781 by 13.

Let's proceed 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 take 0 away from 6, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 13

Going ahead to step 2:
68 divided by 13 is 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 3 after subtracting 65 from 68.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

Let's proceed to step 3:
If we divide 34 by 13, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 52.0
If we subtract 26 from 34, we get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

On to step 4:
87 divided by 13 is 6 with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 526.0
Subtract 78 from 87 to get 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 13

Step 5:
13 can be fit into 98 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 5267.0
Subtract 91 from 98 to get 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 13

Going ahead to step 6:
71 divided by 13 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 52675.0
Subtracting 65 from 71 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 7:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 52675.4
The remainder is 8 after subtracting 52 from 60.
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 8:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 52675.46
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 52675.461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 52675.4615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 52675.46153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 52675.461538
Deduct 104 from 110 and we're left 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 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 52675.4615384
The remainder is 8 after subtracting 52 from 60.
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 14:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 52675.46153846
Subtracting 78 from 80 leaves us 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.

The quotient of the division is 52675.46153846, and the remainder is 2e-09.