We divide 108202 by 31
We want to figure out the number of times 108202 can be divided by 31.

Step 1:
31 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 31

On to step 2:
When dividing 10 by 31, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 31

Step 3:
When dividing 108 by 31, we get 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 15 after subtracting 93 from 108.
Fetch the next digit (2) from the dividend, attach it to 15 and continue: 152 / 31

Step 4:
When dividing 152 by 31, we get 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Subtract 124 from 152 to get 28.
Bring next digit (0) of the dividend behind the 28 and repeat the process: 280 / 31

On to step 5:
280 divided by 31 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 349.0
The remainder is 1 after subtracting 279 from 280.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 31

Moving on to step 6:
12 divided by 31 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 3490.0
Deduct 0 from 12 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
31 can be fit into 120 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 3490.3
The remainder is 27 after subtracting 93 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
If we divide 270 by 31, we get 8 and a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 3490.38
Subtract 248 from 270 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
When dividing 220 by 31, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 3490.387
Subtract 217 from 220 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
30 divided by 31 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 3490.387
If we take 0 away from 30, we end up 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.

On to step 11:
The number 31 fits into 300 9 times, leaving a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 3490.38709
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.

Moving on to step 12:
When dividing 210 by 31, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 3490.387096
If we subtract 186 from 210, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 13:
If we divide 240 by 31, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 3490.3870967
Subtract 217 from 240 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 14:
If we divide 230 by 31, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 3490.38709677
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.

In conclusion, the division gives 3490.38709677 with a balance of 1.3e-08.