We look at the division of 81653 by 75 
We want to divide 81653 by 75.

Going ahead to step 1:
When dividing 8 by 75, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 75

On to step 2:
The number 75 fits into 81 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 75 from 81 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 75

On to step 3:
The number 75 fits into 66 0 times, leaving a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 66 to get 66.
Fetch the next digit (5) from the dividend, attach it to 66 and continue: 665 / 75

Going ahead to step 4:
The number 75 fits into 665 8 times, leaving a remainder of 65.
The next digit of our result is 8. 
Result so far: 108.0
If we subtract 600 from 665, we get 65.
Bring next digit (3) of the dividend behind the 65 and repeat the process: 653 / 75

Moving on to step 5:
When dividing 653 by 75, we get 8 with a remainder of 53.
The number 8 becomes the next digit in our result. 
Result so far: 1088.0
The remainder is 53 after subtracting 600 from 653.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 6:
The number 75 fits into 530 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1088.7
Subtracting 525 from 530 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
When dividing 50 by 75, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 1088.7
Subtract 0 from 50 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 8:
500 divided by 75 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 1088.706
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.

On to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 1088.7066
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 1088.7066, and the remainder is 0.0005.