827257 ÷ 75 
Our goal is to divide 827257 by 75.

Advancing to step 1:
75 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 75

Let's proceed to step 2:
If we divide 82 by 75, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 7 after subtracting 75 from 82.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 75

Advancing to step 3:
75 goes into 77 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 75 away from 77, we end up with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 75

Let's proceed to step 4:
If we divide 22 by 75, we get 0 and a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 110.0
Subtract 0 from 22 to get 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 75

Let's proceed to step 5:
The number 75 fits into 225 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 1103.0
Subtracting 225 from 225 leaves us with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 75

Let's proceed to step 6:
75 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 11030.0
Deduct 0 from 7 and we're left with 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 7:
75 goes into 70 0 times with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 11030.0
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
700 divided by 75 is 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 11030.09
If we subtract 675 from 700, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 11030.093
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
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: 11030.0933
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 11030.0933 and a remainder of 0.00025.