We're dividing 34039 by 31 
Our goal is to divide 34039 by 31.

Moving on to step 1:
The number 31 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 31

Let's proceed to step 2:
31 goes into 34 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 31 from 34 and we're left with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 31

Let's proceed to step 3:
31 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 30, we end up with 30.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 31

Going ahead to step 4:
When dividing 303 by 31, we get 9 with a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 109.0
Subtracting 279 from 303 leaves us with 24.
Include the next digit (9) from the dividend after 24, then repeat: 249 / 31

On to step 5:
249 divided by 31 is 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 1098.0
Deduct 248 from 249 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
31 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 1098.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
When dividing 100 by 31, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 1098.03
If we take 93 away from 100, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
When dividing 70 by 31, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1098.032
If we take 62 away from 70, we end up 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.

On to step 9:
If we divide 80 by 31, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 1098.0322
The remainder is 18 after subtracting 62 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 1098.0322 with a balance of 0.00018.