877111 divided by 13 
We want to divide 877111 by 13.

Advancing to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 13

Moving on to step 2:
The number 13 fits into 87 6 times, leaving a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 78 from 87 to get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 13

Step 3:
If we divide 97 by 13, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 67.0
If we take 91 away from 97, we end up with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 13

Moving on to step 4:
61 divided by 13 is 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 674.0
If we take 52 away from 61, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 13

Going ahead to step 5:
If we divide 91 by 13, we get 7 and a remainder of 0.
The next digit of our result is 7. 
Result so far: 6747.0
If we subtract 91 from 91, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 13

Going ahead to step 6:
If we divide 1 by 13, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 67470.0
If we subtract 0 from 1, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 67470.0
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.

Advancing to step 8:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 67470.07
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.

Moving on to step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 67470.076
If we subtract 78 from 90, we 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.

Going ahead to step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 67470.0769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
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: 67470.07692
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.

Let's proceed to step 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 67470.076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 67470.076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 67470.07692307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 67470.07692307 with a balance of 9e-09.