Let's divide 217697 by 31
We want to figure out the number of times 217697 can be divided by 31.

Advancing to step 1:
The number 31 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 31

Step 2:
When dividing 21 by 31, we get 0 with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 31

Advancing to step 3:
The number 31 fits into 217 7 times, leaving a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 217 away from 217, we end up with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 31

Moving on to step 4:
The number 31 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 70.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 31

Step 5:
69 divided by 31 is 2 with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 702.0
Subtract 62 from 69 to get 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 31

Going ahead to step 6:
When dividing 77 by 31, we get 2 with a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 7022.0
Subtracting 62 from 77 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
If we divide 150 by 31, we get 4 and a remainder of 26.
The next digit of our result is 4. 
Result so far: 7022.4
If we subtract 124 from 150, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
31 can be fit into 260 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 7022.48
If we subtract 248 from 260, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
If we divide 120 by 31, we get 3 and a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 7022.483
Subtracting 93 from 120 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 10:
When dividing 270 by 31, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 7022.4838
If we take 248 away from 270, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
31 goes into 220 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7022.48387
Subtracting 217 from 220 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
31 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 7022.48387
Subtracting 0 from 30 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.

Advancing to step 13:
31 goes into 300 9 times with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 7022.4838709
Subtracting 279 from 300 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 14:
31 can be fit into 210 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 7022.48387096
Subtracting 186 from 210 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 7022.48387096, and the remainder is 2.4e-08.