103043 divided by 31 
Our goal is to divide 103043 by 31.

Step 1:
The number 31 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 31

Let's proceed to step 2:
10 divided by 31 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 31

Advancing to step 3:
31 can be fit into 103 3 times, resulting in a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 93 from 103 and we're left with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 31

Going ahead to step 4:
When dividing 100 by 31, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 33.0
Subtract 93 from 100 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 31

Step 5:
When dividing 74 by 31, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 332.0
If we take 62 away from 74, we end up with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 31

Advancing to step 6:
If we divide 123 by 31, we get 3 and a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 3323.0
If we take 93 away from 123, 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.

Moving on to step 7:
31 can be fit into 300 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 3323.9
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.

Let's proceed to step 8:
31 goes into 210 6 times with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 3323.96
Deduct 186 from 210 and we're left 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.

Moving on to step 9:
240 divided by 31 is 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 3323.967
The remainder is 23 after subtracting 217 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 10:
31 goes into 230 7 times with a remainder of 13.
The next digit of our result is 7. 
Result so far: 3323.9677
Subtracting 217 from 230 leaves us with 13.
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 result is 3323.9677 with a remainder of 0.00013.