We're dividing 34025 by 31 
Let's see how many times 31 fits into 34025.

Let's proceed to step 1:
The number 31 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 31

On 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.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 31

Let's proceed to step 3:
If we divide 30 by 31, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 30 to get 30.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 31

Step 4:
31 can be fit into 302 9 times, resulting in a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 109.0
If we subtract 279 from 302, we get 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 31

Going ahead to step 5:
If we divide 235 by 31, we get 7 and a remainder of 18.
The next digit of our result is 7. 
Result so far: 1097.0
The remainder is 18 after subtracting 217 from 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 6:
31 can be fit into 180 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1097.5
Deduct 155 from 180 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
250 divided by 31 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1097.58
Subtract 248 from 250 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 31 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 1097.58
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
When dividing 200 by 31, we get 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 1097.5806
The remainder is 14 after subtracting 186 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
31 can be fit into 140 4 times, resulting in a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 1097.58064
Subtract 124 from 140 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
31 can be fit into 160 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1097.580645
The remainder is 5 after subtracting 155 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
If we divide 50 by 31, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1097.5806451
Subtract 31 from 50 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
When dividing 190 by 31, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1097.58064516
If we take 186 away from 190, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 1097.58064516 and a remainder of 4e-09.