We're dividing 997674 by 13 
We want to figure out the number of times 997674 can be divided by 13.

Going ahead to step 1:
13 can be fit into 9 0 times, resulting in 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.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 13

Moving on to step 2:
13 goes into 99 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 91 from 99, we get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

On to step 3:
13 goes into 87 6 times with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 9 after subtracting 78 from 87.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 13

Step 4:
13 goes into 96 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 767.0
Subtract 91 from 96 to get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 13

On to step 5:
When dividing 57 by 13, we get 4 with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 7674.0
Subtract 52 from 57 to get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 13

On to step 6:
If we divide 54 by 13, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 76744.0
Subtract 52 from 54 to 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.

Let's proceed to step 7:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 76744.1
Subtracting 13 from 20 leaves us with 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 8:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 76744.15
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
50 divided by 13 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 76744.153
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.

Let's proceed to step 10:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 76744.1538
If we take 104 away from 110, we end up 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.

On to step 11:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 76744.15384
Deduct 52 from 60 and we're left 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.

Moving on to step 12:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 76744.153846
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 13:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 76744.1538461
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.

Let's proceed to step 14:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 76744.15384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 76744.15384615 with a remaining 5e-09.