We divide 61297 by 31
We're looking to find how many times 31 goes into 61297.

Step 1:
31 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 31

Moving on to step 2:
61 divided by 31 is 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 31 from 61 to get 30.
Append the next digit (2) from the dividend to 30 and continue with: 302 / 31

Let's proceed to step 3:
31 goes into 302 9 times with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 279 from 302 and we're left with 23.
Append the next digit (9) from the dividend to 23 and continue with: 239 / 31

On to step 4:
31 goes into 239 7 times with a remainder of 22.
The next digit of our result is 7. 
Result so far: 197.0
Deduct 217 from 239 and we're left with 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 31

Moving on to step 5:
If we divide 227 by 31, we get 7 and a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 1977.0
Subtracting 217 from 227 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.

On to step 6:
100 divided by 31 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 1977.3
If we subtract 93 from 100, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
31 can be fit into 70 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 1977.32
Subtracting 62 from 70 leaves us 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.

Going ahead to step 8:
If we divide 80 by 31, we get 2 and a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 1977.322
If we subtract 62 from 80, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 1977.322 with a remainder of 0.0018.