We divide 81345 by 90
We're looking to find how many times 90 goes into 81345.

Let's proceed to step 1:
If we divide 8 by 90, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 90

Moving on to step 2:
90 can be fit into 81 0 times, resulting in a remainder of 81.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 81 leaves us with 81.
Take the next digit (3) from the dividend and append it to 81, then repeat: 813 / 90

On to step 3:
When dividing 813 by 90, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 810 away from 813, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 90

Step 4:
34 divided by 90 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 90.0
Deduct 0 from 34 and we're left with 34.
Fetch the next digit (5) from the dividend, attach it to 34 and continue: 345 / 90

On to step 5:
345 divided by 90 is 3 with a remainder of 75.
Record the quotient 3 as the next digit in the result. 
Result so far: 903.0
If we take 270 away from 345, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 6:
When dividing 750 by 90, we get 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 903.8
If we take 720 away from 750, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
If we divide 300 by 90, we get 3 and a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 903.83
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
The number 90 fits into 300 3 times, leaving a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 903.833
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 903.833, and the remainder is 0.003.