We're dividing 82641 by 75 
We want to divide 82641 by 75.

Going ahead to step 1:
75 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 75

On to step 2:
When dividing 82 by 75, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
If we take 75 away from 82, we end up with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 75

Advancing to step 3:
75 can be fit into 76 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 75 from 76 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 75

Moving on to step 4:
The number 75 fits into 14 0 times, leaving a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
If we take 0 away from 14, we end up with 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 75

Let's proceed to step 5:
The number 75 fits into 141 1 times, leaving a remainder of 66.
Use 1 as the next digit of our solution. 
Result so far: 1101.0
If we subtract 75 from 141, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 6:
If we divide 660 by 75, we get 8 and a remainder of 60.
Write down 8 as next digit of the result. 
Result so far: 1101.8
Subtracting 600 from 660 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 7:
If we divide 600 by 75, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 1101.88
Subtracting 600 from 600 leaves us 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 quotient of the division is 1101.88, and the remainder is 0.0.