We look at the division of 479261 by 31 
We're looking to find how many times 31 goes into 479261.

Let's proceed to step 1:
When dividing 4 by 31, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 31

Step 2:
47 divided by 31 is 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 31 from 47 and we're left with 16.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 31

Moving on to step 3:
If we divide 169 by 31, we get 5 and a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtract 155 from 169 to get 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 31

Let's proceed to step 4:
When dividing 142 by 31, we get 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 154.0
If we take 124 away from 142, we end up with 18.
Append the next digit (6) from the dividend to 18 and continue with: 186 / 31

Advancing to step 5:
31 goes into 186 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 1546.0
Deduct 186 from 186 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 31

On to step 6:
If we divide 1 by 31, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 15460.0
If we take 0 away from 1, we end up 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.

Step 7:
31 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15460.0
If we take 0 away from 10, we end up 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.

Moving on to step 8:
31 goes into 100 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 15460.03
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.

Going ahead to step 9:
70 divided by 31 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 15460.032
Subtract 62 from 70 to 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.

Step 10:
31 goes into 80 2 times with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 15460.0322
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.

In conclusion, the division gives 15460.0322 with a balance of 0.00018.