We divide 976672 by 13
Our goal is to divide 976672 by 13.

On to step 1:
13 goes into 9 0 times with 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.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 13

Moving on to step 2:
13 can be fit into 97 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 91 away from 97, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 13

Advancing to step 3:
If we divide 66 by 13, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 75.0
Deduct 65 from 66 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Step 4:
13 can be fit into 16 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 751.0
Deduct 13 from 16 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 13

Step 5:
If we divide 37 by 13, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 7512.0
Deduct 26 from 37 and we're left with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 13

Moving on to step 6:
13 can be fit into 112 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 75128.0
Subtracting 104 from 112 leaves us 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.

Step 7:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 75128.6
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.

Advancing to step 8:
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: 75128.61
If we take 13 away from 20, we end up 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.

On to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 75128.615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 75128.6153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 75128.61538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
60 divided by 13 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 75128.615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 75128.6153846
Subtract 78 from 80 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 14:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 75128.61538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 75128.61538461 with a remainder of 7e-09.