Let's divide 971437 by 13
We want to divide 971437 by 13.

On to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 13

Advancing to step 2:
If we divide 97 by 13, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 91 from 97, we get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 13

Going ahead to step 3:
61 divided by 13 is 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 74.0
Deduct 52 from 61 and we're left with 9.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 13

Let's proceed to step 4:
When dividing 94 by 13, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 747.0
If we subtract 91 from 94, we get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 13

On to step 5:
13 can be fit into 33 2 times, resulting in a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 7472.0
Subtracting 26 from 33 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 13

On to step 6:
If we divide 77 by 13, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 74725.0
Subtracting 65 from 77 leaves us 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.

Going ahead to step 7:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 74725.9
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.

Advancing to step 8:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 74725.92
Subtracting 26 from 30 leaves us 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.

Moving on to step 9:
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: 74725.923
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.

Step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 74725.923
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.

Going ahead to step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 74725.92307
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.

On to step 12:
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: 74725.923076
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.

On to step 13:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 74725.9230769
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.

Advancing to step 14:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 74725.92307692
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.

After the division, we end up with 74725.92307692 and a remainder of 4e-09.