We look at the division of 987680 by 13 
Our goal is to divide 987680 by 13.

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
The remainder is 9 after subtracting 0 from 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 13

Step 2:
The number 13 fits into 98 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 91 away from 98, we end up with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

Moving on to step 3:
When dividing 77 by 13, we get 5 with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we take 65 away from 77, we end up with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 13

Step 4:
13 can be fit into 126 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 759.0
Deduct 117 from 126 and we're left with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 13

On to step 5:
When dividing 98 by 13, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 7597.0
If we subtract 91 from 98, we get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

On to step 6:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 75975.0
Deduct 65 from 70 and we're left 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.

Step 7:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 75975.3
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 75975.38
Deduct 104 from 110 and we're left 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.

Going ahead to step 9:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 75975.384
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.

On to step 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 75975.3846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 75975.38461
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.

On to step 12:
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: 75975.384615
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.

Going ahead to step 13:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 75975.3846153
If we subtract 39 from 50, we 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.

Let's proceed to step 14:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 75975.38461538
Deduct 104 from 110 and we're left 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.

The quotient of the division is 75975.38461538, and the remainder is 6e-09.