Let's divide 697167 by 13
We're looking to find how many times 13 goes into 697167.

Advancing to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 13

Going ahead to step 2:
The number 13 fits into 69 5 times, leaving a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 65 from 69 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 13

Advancing to step 3:
47 divided by 13 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 53.0
Deduct 39 from 47 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 13

On to step 4:
81 divided by 13 is 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 536.0
Deduct 78 from 81 and we're left with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 13

Advancing to step 5:
13 can be fit into 36 2 times, resulting in a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 5362.0
Deduct 26 from 36 and we're left with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 13

Moving on to step 6:
107 divided by 13 is 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 53628.0
If we take 104 away from 107, we end up 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 7:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 53628.2
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 53628.23
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.

Going ahead to step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 53628.23
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.

Step 10:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 53628.2307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 53628.23076
Subtract 78 from 90 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.

Advancing to step 12:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 53628.230769
If we take 117 away from 120, we end up 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.

Step 13:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 53628.2307692
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.

Step 14:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 53628.23076923
Deduct 39 from 40 and we're left 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.

The final result is 53628.23076923 with a remainder of 1e-09.