9917 ÷ 81 
We want to figure out the number of times 9917 can be divided by 81.

Let's proceed to step 1:
81 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 81

Let's proceed to step 2:
81 can be fit into 99 1 times, resulting in a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 81 from 99, we get 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 81

Advancing to step 3:
81 goes into 181 2 times with a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 19 after subtracting 162 from 181.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 81

Let's proceed to step 4:
81 goes into 197 2 times with a remainder of 35.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
Subtract 162 from 197 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 5:
81 goes into 350 4 times with a remainder of 26.
The next digit of our result is 4. 
Result so far: 122.4
If we take 324 away from 350, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 6:
If we divide 260 by 81, we get 3 and a remainder of 17.
The next digit of our result is 3. 
Result so far: 122.43
Deduct 243 from 260 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
If we divide 170 by 81, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 122.432
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
81 goes into 80 0 times with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 122.432
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 9:
800 divided by 81 is 9 with a remainder of 71.
The number 9 becomes the next digit in our result. 
Result so far: 122.43209
Subtracting 729 from 800 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 10:
710 divided by 81 is 8 with a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 122.432098
Deduct 648 from 710 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 11:
81 can be fit into 620 7 times, resulting in a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 122.4320987
Subtract 567 from 620 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 12:
If we divide 530 by 81, we get 6 and a remainder of 44.
The next digit of our result is 6. 
Result so far: 122.43209876
Subtracting 486 from 530 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 122.43209876, and the remainder is 4.4e-08.