8335 ÷ 81 
Our goal is to divide 8335 by 81.

Let's proceed to step 1:
If we divide 8 by 81, we get 0 and 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.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 81

Advancing to step 2:
When dividing 83 by 81, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 81 from 83, we get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 81

Step 3:
81 goes into 23 0 times with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 23 to get 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 81

Moving on to step 4:
81 can be fit into 235 2 times, resulting in a remainder of 73.
Use 2 as the next digit of our solution. 
Result so far: 102.0
The remainder is 73 after subtracting 162 from 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 5:
730 divided by 81 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 102.9
Subtract 729 from 730 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
10 divided by 81 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 102.9
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
If we divide 100 by 81, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 102.901
If we take 81 away from 100, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
190 divided by 81 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 102.9012
Subtract 162 from 190 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
The number 81 fits into 280 3 times, leaving a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 102.90123
Deduct 243 from 280 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 10:
If we divide 370 by 81, we get 4 and a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 102.901234
If we take 324 away from 370, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 11:
460 divided by 81 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 102.9012345
Subtracting 405 from 460 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 12:
If we divide 550 by 81, we get 6 and a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 102.90123456
If we take 486 away from 550, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 102.90123456, and the remainder is 6.4e-08.