875066 divided by 13 
We want to figure out the number of times 875066 can be divided by 13.

Advancing to step 1:
8 divided by 13 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

Advancing to step 2:
If we divide 87 by 13, we get 6 and 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.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

Advancing to step 3:
If we divide 95 by 13, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 67.0
If we subtract 91 from 95, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Going ahead to step 4:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 673.0
Deduct 39 from 40 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 13

Moving on to step 5:
If we divide 16 by 13, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 6731.0
Subtracting 13 from 16 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 13

Moving on to step 6:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 67312.0
If we take 26 away from 36, 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.

On to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 67312.7
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.

Going ahead to step 8:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 67312.76
Deduct 78 from 90 and we're left 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.

Step 9:
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: 67312.769
Subtracting 117 from 120 leaves us with 3.
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 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 67312.7692
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 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 67312.76923
Subtracting 39 from 40 leaves us with 1.
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:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 67312.76923
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.

Moving on to step 13:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 67312.7692307
If we subtract 91 from 100, we 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:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 67312.76923076
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.

The final outcome is 67312.76923076, with a leftover of 1.2e-08.