877166 ÷ 75 
We're looking to find how many times 75 goes into 877166.

Going ahead to step 1:
The number 75 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 75

Let's proceed to step 2:
When dividing 87 by 75, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 75 away from 87, we end up with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 75

Moving on to step 3:
When dividing 127 by 75, we get 1 with a remainder of 52.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 75 from 127 leaves us with 52.
Include the next digit (1) from the dividend after 52, then repeat: 521 / 75

On to step 4:
75 can be fit into 521 6 times, resulting in a remainder of 71.
Put 6 as the next digit of the answer. 
Result so far: 116.0
Subtracting 450 from 521 leaves us with 71.
Take the next digit (6) from the dividend and append it to 71, then repeat: 716 / 75

Let's proceed to step 5:
716 divided by 75 is 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 1169.0
Deduct 675 from 716 and we're left with 41.
Grab the next digit (6) from the dividend, add it to 41, then carry on: 416 / 75

On to step 6:
When dividing 416 by 75, we get 5 with a remainder of 41.
Write down 5 as next digit of the result. 
Result so far: 11695.0
Subtract 375 from 416 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
75 goes into 410 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 11695.5
Subtract 375 from 410 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
350 divided by 75 is 4 with a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 11695.54
Subtract 300 from 350 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 11695.546
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 11695.5466
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 11695.5466 with a remaining 0.0005.