We're dividing 876911 by 13 
We want to divide 876911 by 13.

Going ahead to step 1:
13 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 13

Step 2:
When dividing 87 by 13, we get 6 with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 78 from 87 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 13

Step 3:
13 goes into 96 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 67.0
Deduct 91 from 96 and we're left with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 13

Let's proceed to step 4:
If we divide 59 by 13, we get 4 and a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 674.0
Subtract 52 from 59 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 13

Step 5:
13 goes into 71 5 times with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 6745.0
If we subtract 65 from 71, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 13

Let's proceed to step 6:
61 divided by 13 is 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 67454.0
Deduct 52 from 61 and we're left 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.

Step 7:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 67454.6
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.

Moving on to step 8:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 67454.69
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.

On to step 9:
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: 67454.692
If we subtract 26 from 30, we 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.

Going ahead to step 10:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 67454.6923
Deduct 39 from 40 and we're left 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.

Moving on to step 11:
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: 67454.6923
Subtract 0 from 10 to 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.

Moving on to step 12:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 67454.692307
The remainder is 9 after subtracting 91 from 100.
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 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 67454.6923076
Subtracting 78 from 90 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.

Step 14:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 67454.69230769
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.

Our division results in 67454.69230769 with a remaining 3e-09.