We're dividing 876564 by 75 
We want to figure out the number of times 876564 can be divided by 75.

Moving on to step 1:
If we divide 8 by 75, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 75

Moving on to step 2:
The number 75 fits into 87 1 times, leaving a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 75 from 87 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 75

Step 3:
75 can be fit into 126 1 times, resulting in a remainder of 51.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 75 from 126 to get 51.
Include the next digit (5) from the dividend after 51, then repeat: 515 / 75

Let's proceed to step 4:
75 goes into 515 6 times with a remainder of 65.
Write down 6 as next digit of the result. 
Result so far: 116.0
The remainder is 65 after subtracting 450 from 515.
Fetch the next digit (6) from the dividend, attach it to 65 and continue: 656 / 75

Advancing to step 5:
75 can be fit into 656 8 times, resulting in a remainder of 56.
The next digit of our result is 8. 
Result so far: 1168.0
If we subtract 600 from 656, we get 56.
Append the next digit (4) from the dividend to 56 and continue with: 564 / 75

Going ahead to step 6:
If we divide 564 by 75, we get 7 and a remainder of 39.
Record the quotient 7 as the next digit in the result. 
Result so far: 11687.0
If we subtract 525 from 564, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
75 goes into 390 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 11687.5
If we subtract 375 from 390, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
75 can be fit into 150 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 11687.52
If we subtract 150 from 150, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
75 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 11687.52
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
When dividing 0 by 75, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 11687.52
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 11687.52, with a leftover of 0.0.