55903 ÷ 31 
We're looking to find how many times 31 goes into 55903.

Step 1:
The number 31 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 31

Advancing to step 2:
31 can be fit into 55 1 times, resulting in a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 31 from 55 leaves us with 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 31

Step 3:
31 can be fit into 249 8 times, resulting in a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 18.0
Deduct 248 from 249 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 31

On to step 4:
When dividing 10 by 31, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 180.0
If we subtract 0 from 10, we get 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 31

On to step 5:
31 goes into 103 3 times with a remainder of 10.
The next digit of our result is 3. 
Result so far: 1803.0
Deduct 93 from 103 and we're left 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.

Let's proceed to step 6:
100 divided by 31 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 1803.3
Deduct 93 from 100 and we're left 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.

Step 7:
When dividing 70 by 31, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1803.32
If we subtract 62 from 70, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
80 divided by 31 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 1803.322
Subtracting 62 from 80 leaves us with 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 1803.322 with a remainder of 0.0018.