874715 ÷ 13 
We're looking to find how many times 13 goes into 874715.

Step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 13

On to step 2:
13 can be fit into 87 6 times, resulting in a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 78 from 87, we get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 13

Advancing to step 3:
94 divided by 13 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Deduct 91 from 94 and we're left with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 13

Going ahead to step 4:
13 can be fit into 37 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 672.0
Subtracting 26 from 37 leaves us with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 13

Moving on to step 5:
If we divide 111 by 13, we get 8 and a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 6728.0
If we subtract 104 from 111, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 13

On to step 6:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 67285.0
Subtract 65 from 75 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.

On to step 7:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 67285.7
Deduct 91 from 100 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.

On to step 8:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 67285.76
If we take 78 away from 90, we end up 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.

Advancing to step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 67285.769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 67285.7692
Deduct 26 from 30 and we're left with 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 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 67285.76923
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.

Going ahead to step 12:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 67285.76923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 67285.7692307
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.

On to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 67285.76923076
If we take 78 away from 90, we end up 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.

After the division, we end up with 67285.76923076 and a remainder of 1.2e-08.