Let's divide 142697 by 13
Our goal is to divide 142697 by 13.

On to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 13

Let's proceed to step 2:
If we divide 14 by 13, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 13 away from 14, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 13

On to step 3:
12 divided by 13 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 12, we end up with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 13

Moving on to step 4:
If we divide 126 by 13, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
Subtracting 117 from 126 leaves us with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 13

Going ahead to step 5:
13 goes into 99 7 times with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 1097.0
Subtracting 91 from 99 leaves us with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 13

Moving on to step 6:
87 divided by 13 is 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 10976.0
Subtract 78 from 87 to 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 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 10976.6
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 8:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 10976.69
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.

Let's proceed to step 9:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 10976.692
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 10:
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: 10976.6923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10976.6923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 10976.692307
If we take 91 away from 100, we end up 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.

Advancing to step 13:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 10976.6923076
Deduct 78 from 90 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.

On to step 14:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 10976.69230769
Subtracting 117 from 120 leaves us 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.

In conclusion, the division gives 10976.69230769 with a balance of 3e-09.