217677 ÷ 20 
We want to figure out the number of times 217677 can be divided by 20.

Let's proceed to step 1:
20 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 20

Going ahead to step 2:
The number 20 fits into 21 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 20 away from 21, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 20

Moving on to step 3:
When dividing 17 by 20, we get 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 17, we end up with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 20

Let's proceed to step 4:
20 goes into 176 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
If we subtract 160 from 176, we get 16.
Append the next digit (7) from the dividend to 16 and continue with: 167 / 20

Let's proceed to step 5:
20 goes into 167 8 times with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 1088.0
The remainder is 7 after subtracting 160 from 167.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 20

Step 6:
If we divide 77 by 20, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 10883.0
The remainder is 17 after subtracting 60 from 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
20 can be fit into 170 8 times, resulting in a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 10883.8
Subtracting 160 from 170 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 20 fits into 100 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 10883.85
Deduct 100 from 100 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
The number 20 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10883.85
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
20 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10883.85
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 10883.85, and the remainder is 0.0.