697874 ÷ 13 
We're looking to find how many times 13 goes into 697874.

Advancing to step 1:
6 divided by 13 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 13

Step 2:
69 divided by 13 is 5 with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 65 from 69 leaves us with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 13

On to step 3:
If we divide 47 by 13, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 39 from 47 leaves us with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 13

On to step 4:
13 can be fit into 88 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 536.0
Deduct 78 from 88 and we're left with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 13

Going ahead to step 5:
When dividing 107 by 13, we get 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 5368.0
If we subtract 104 from 107, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 13

Moving on to step 6:
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: 53682.0
If we take 26 away from 34, 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.

Advancing to step 7:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 53682.6
If we subtract 78 from 80, we 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.

Moving on to step 8:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 53682.61
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 53682.615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 53682.6153
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.

Step 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 53682.61538
Subtracting 104 from 110 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.

Going ahead to step 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 53682.615384
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.

On to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 53682.6153846
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.

Moving on to step 14:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 53682.61538461
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.

Our division results in 53682.61538461 with a remaining 7e-09.