877222 ÷ 13 
We want to figure out the number of times 877222 can be divided by 13.

On to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 13

Advancing to step 2:
If we divide 87 by 13, we get 6 and a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 78 from 87 leaves us with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 13

Advancing to step 3:
When dividing 97 by 13, we get 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Deduct 91 from 97 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 13

Moving on to step 4:
62 divided by 13 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 674.0
Subtract 52 from 62 to get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 13

On to step 5:
102 divided by 13 is 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 6747.0
Subtract 91 from 102 to get 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 13

Going ahead to step 6:
112 divided by 13 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 67478.0
Subtract 104 from 112 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 7:
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: 67478.6
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.

Moving on to step 8:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 67478.61
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.

Step 9:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 67478.615
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.

Going ahead to step 10:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 67478.6153
If we take 39 away from 50, 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.

Step 11:
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: 67478.61538
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.

Moving on to step 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 67478.615384
Subtracting 52 from 60 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.

Moving on to step 13:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 67478.6153846
Deduct 78 from 80 and we're left 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.

Moving on to step 14:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 67478.61538461
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.

Our division results in 67478.61538461 with a remaining 7e-09.