Let's divide 81682 by 75
We want to figure out the number of times 81682 can be divided by 75.

Going ahead to step 1:
75 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 75

On to step 2:
75 goes into 81 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 75 away from 81, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 75

Going ahead to step 3:
75 can be fit into 66 0 times, resulting in a remainder of 66.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 66 to get 66.
Bring next digit (8) of the dividend behind the 66 and repeat the process: 668 / 75

Moving on to step 4:
75 goes into 668 8 times with a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
The remainder is 68 after subtracting 600 from 668.
Append the next digit (2) from the dividend to 68 and continue with: 682 / 75

On to step 5:
75 can be fit into 682 9 times, resulting in a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 1089.0
If we subtract 675 from 682, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
If we divide 70 by 75, we get 0 and a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 1089.0
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 7:
75 can be fit into 700 9 times, resulting in a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 1089.09
The remainder is 25 after subtracting 675 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
If we divide 250 by 75, we get 3 and a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 1089.093
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.

Going ahead to step 9:
75 goes into 250 3 times with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 1089.0933
If we subtract 225 from 250, 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.

After the division, we end up with 1089.0933 and a remainder of 0.00025.