696842 ÷ 13 
We want to figure out the number of times 696842 can be divided by 13.

Going ahead to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 13

Advancing to step 2:
69 divided by 13 is 5 with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 65 from 69 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Moving on to step 3:
46 divided by 13 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 53.0
The remainder is 7 after subtracting 39 from 46.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 13

Moving on to step 4:
78 divided by 13 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 536.0
If we subtract 78 from 78, we get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 13

Let's proceed to step 5:
4 divided by 13 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 5360.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 13

Step 6:
If we divide 42 by 13, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 53603.0
If we subtract 39 from 42, we 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.

Let's proceed to step 7:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 53603.2
Deduct 26 from 30 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.

On to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 53603.23
Subtract 39 from 40 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.

Step 9:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 53603.23
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 53603.2307
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.

Step 11:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 53603.23076
The remainder is 12 after subtracting 78 from 90.
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 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 53603.230769
Deduct 117 from 120 and we're left 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.

Going ahead to step 13:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 53603.2307692
If we take 26 away from 30, we end up 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.

Advancing to step 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 53603.23076923
Subtract 39 from 40 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.

After the division, we end up with 53603.23076923 and a remainder of 1e-09.