We're dividing 151321 by 31 
We're looking to find how many times 31 goes into 151321.

Going ahead to step 1:
31 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 31

On to step 2:
If we divide 15 by 31, we get 0 and a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 31

Let's proceed to step 3:
151 divided by 31 is 4 with a remainder of 27.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 124 from 151 leaves us with 27.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 31

Advancing to step 4:
When dividing 273 by 31, we get 8 with a remainder of 25.
The next digit of our result is 8. 
Result so far: 48.0
If we subtract 248 from 273, we get 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 31

Step 5:
When dividing 252 by 31, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 488.0
Deduct 248 from 252 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 31

Moving on to step 6:
41 divided by 31 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 4881.0
If we subtract 31 from 41, we get 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 7:
If we divide 100 by 31, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 4881.3
The remainder is 7 after subtracting 93 from 100.
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:
31 can be fit into 70 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 4881.32
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.

Let's proceed to step 9:
The number 31 fits into 80 2 times, leaving a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 4881.322
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.

After the division, we end up with 4881.322 and a remainder of 0.0018.