17677 ÷ 81 
We want to figure out the number of times 17677 can be divided by 81.

Let's proceed to step 1:
The number 81 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 81

Moving on to step 2:
If we divide 17 by 81, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 81

Let's proceed to step 3:
176 divided by 81 is 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 162 from 176, we get 14.
Take the next digit (7) from the dividend and append it to 14, then repeat: 147 / 81

Let's proceed to step 4:
When dividing 147 by 81, we get 1 with a remainder of 66.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we subtract 81 from 147, we get 66.
Include the next digit (7) from the dividend after 66, then repeat: 667 / 81

On to step 5:
81 goes into 667 8 times with a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 218.0
The remainder is 19 after subtracting 648 from 667.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 6:
When dividing 190 by 81, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 218.2
If we take 162 away from 190, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
81 goes into 280 3 times with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 218.23
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.

Advancing to step 8:
81 can be fit into 370 4 times, resulting in a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 218.234
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.

On to step 9:
When dividing 460 by 81, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 218.2345
Deduct 405 from 460 and we're left 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.

Step 10:
If we divide 550 by 81, we get 6 and a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 218.23456
Subtract 486 from 550 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 11:
When dividing 640 by 81, we get 7 with a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 218.234567
If we take 567 away from 640, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 12:
The number 81 fits into 730 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 218.2345679
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.

Step 13:
When dividing 10 by 81, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 218.2345679
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 218.2345679, with a leftover of 1e-08.