We're dividing 971026 by 13 
We're looking to find how many times 13 goes into 971026.

Let's proceed to step 1:
The number 13 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 13

Going ahead to step 2:
13 goes into 97 7 times with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 91 away from 97, we end up with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 13

Step 3:
When dividing 61 by 13, we get 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 74.0
Subtract 52 from 61 to get 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 13

Moving on to step 4:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 746.0
Subtracting 78 from 90 leaves us with 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 13

Moving on to step 5:
13 goes into 122 9 times with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 7469.0
Subtract 117 from 122 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 13

Going ahead to step 6:
13 can be fit into 56 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 74694.0
If we take 52 away from 56, 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.

On to step 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 74694.3
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.

Step 8:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 74694.3
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 9:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 74694.307
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.

Advancing to step 10:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 74694.3076
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.

Step 11:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 74694.30769
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.

Moving on to step 12:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 74694.307692
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.

Moving on to step 13:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 74694.3076923
Subtracting 39 from 40 leaves us 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.

Let's proceed to step 14:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 74694.3076923
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.

The quotient of the division is 74694.3076923, and the remainder is 1e-08.