We look at the division of 877784 by 13 
We want to figure out the number of times 877784 can be divided by 13.

Going ahead to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
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

Advancing to step 2:
87 divided by 13 is 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
If we take 78 away from 87, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 13

Moving on to step 3:
When dividing 97 by 13, we get 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we subtract 91 from 97, we get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

On to step 4:
67 divided by 13 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 675.0
If we take 65 away from 67, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 13

Going ahead to step 5:
13 goes into 28 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 6752.0
The remainder is 2 after subtracting 26 from 28.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 13

Step 6:
When dividing 24 by 13, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 67521.0
If we take 13 away from 24, we end up 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 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 67521.8
Subtracting 104 from 110 leaves us 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 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 67521.84
Subtract 52 from 60 to 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.

Let's proceed to step 9:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 67521.846
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.

Step 10:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 67521.8461
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.

Let's proceed to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 67521.84615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 67521.846153
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.

Moving on to step 13:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 67521.8461538
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.

Let's proceed to step 14:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 67521.84615384
Subtract 52 from 60 to 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.

In conclusion, the division gives 67521.84615384 with a balance of 8e-09.