921181 ÷ 75 
Our goal is to divide 921181 by 75.

Advancing to step 1:
If we divide 9 by 75, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 75

Going ahead to step 2:
75 can be fit into 92 1 times, resulting in a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 17 after subtracting 75 from 92.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 75

Let's proceed to step 3:
75 goes into 171 2 times with a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 21 after subtracting 150 from 171.
Include the next digit (1) from the dividend after 21, then repeat: 211 / 75

Step 4:
When dividing 211 by 75, we get 2 with a remainder of 61.
Write down 2 as next digit of the result. 
Result so far: 122.0
Subtracting 150 from 211 leaves us with 61.
Take the next digit (8) from the dividend and append it to 61, then repeat: 618 / 75

Advancing to step 5:
If we divide 618 by 75, we get 8 and a remainder of 18.
The next digit of our result is 8. 
Result so far: 1228.0
Subtracting 600 from 618 leaves us with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 75

Step 6:
75 goes into 181 2 times with a remainder of 31.
The next digit of our result is 2. 
Result so far: 12282.0
Subtracting 150 from 181 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
75 goes into 310 4 times with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 12282.4
If we take 300 away from 310, 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.

Moving on to step 8:
When dividing 100 by 75, we get 1 with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 12282.41
Deduct 75 from 100 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 12282.413
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 12282.4133
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 12282.4133, and the remainder is 0.00025.