65617 divided by 31 
We're looking to find how many times 31 goes into 65617.

On to step 1:
If we divide 6 by 31, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 31

Advancing to step 2:
When dividing 65 by 31, we get 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 62 from 65 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 31

Step 3:
The number 31 fits into 36 1 times, leaving a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtracting 31 from 36 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 31

Let's proceed to step 4:
The number 31 fits into 51 1 times, leaving a remainder of 20.
The next digit of our result is 1. 
Result so far: 211.0
Subtracting 31 from 51 leaves us with 20.
Take the next digit (7) from the dividend and append it to 20, then repeat: 207 / 31

Moving on to step 5:
If we divide 207 by 31, we get 6 and a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 2116.0
If we take 186 away from 207, we end up 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.

Going ahead to step 6:
When dividing 210 by 31, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 2116.6
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.

Let's proceed to step 7:
31 can be fit into 240 7 times, resulting in a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 2116.67
If we take 217 away from 240, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
When dividing 230 by 31, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 2116.677
The remainder is 13 after subtracting 217 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 2116.677, with a leftover of 0.0013.