697839 divided by 13 
Our goal is to divide 697839 by 13.

Advancing to step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 13

Let's proceed to step 2:
The number 13 fits into 69 5 times, leaving a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 65 away from 69, we end up with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 13

Advancing to step 3:
47 divided by 13 is 3 with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we subtract 39 from 47, we get 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 13

Moving on to step 4:
13 goes into 88 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 536.0
If we take 78 away from 88, we end up with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 13

Going ahead to step 5:
If we divide 103 by 13, we get 7 and a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 5367.0
Subtracting 91 from 103 leaves us with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 13

On to step 6:
129 divided by 13 is 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 53679.0
Deduct 117 from 129 and we're left 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.

Moving on to step 7:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 53679.9
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 53679.92
If we subtract 26 from 30, we 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.

Step 9:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 53679.923
If we subtract 39 from 40, we 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 10:
13 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: 53679.923
If we take 0 away from 10, we end up 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 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 53679.92307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 53679.923076
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.

Moving on to step 13:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 53679.9230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 53679.92307692
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.

After the division, we end up with 53679.92307692 and a remainder of 4e-09.