874478 ÷ 13 
We want to figure out the number of times 874478 can be divided by 13.

Step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 13

Advancing to step 2:
87 divided by 13 is 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 9 after subtracting 78 from 87.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 13

Moving on to step 3:
When dividing 94 by 13, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
Subtract 91 from 94 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 13

Going ahead to step 4:
13 can be fit into 34 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 672.0
The remainder is 8 after subtracting 26 from 34.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 13

Step 5:
If we divide 87 by 13, we get 6 and a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 6726.0
Subtracting 78 from 87 leaves us with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 13

On to step 6:
The number 13 fits into 98 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 67267.0
If we subtract 91 from 98, 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.

Going ahead to step 7:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 67267.5
Subtract 65 from 70 to get 5.
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 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 67267.53
Subtract 39 from 50 to 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.

Step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 67267.538
If we subtract 104 from 110, we 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.

Advancing to step 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 67267.5384
Deduct 52 from 60 and we're left 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.

On to step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 67267.53846
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.

Going ahead to step 12:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 67267.538461
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 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 67267.5384615
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.

Advancing to step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 67267.53846153
Subtract 39 from 50 to 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.

The final outcome is 67267.53846153, with a leftover of 1.1e-08.