We divide 415901 by 31
Our goal is to divide 415901 by 31.

Step 1:
When dividing 4 by 31, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 31

Moving on to step 2:
41 divided by 31 is 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 31 from 41 to get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 31

Going ahead to step 3:
31 can be fit into 105 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 93 away from 105, we end up with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 31

Step 4:
The number 31 fits into 129 4 times, leaving a remainder of 5.
The next digit of our result is 4. 
Result so far: 134.0
Subtract 124 from 129 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 31

Going ahead to step 5:
50 divided by 31 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1341.0
The remainder is 19 after subtracting 31 from 50.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 31

Let's proceed to step 6:
191 divided by 31 is 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 13416.0
Deduct 186 from 191 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
50 divided by 31 is 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 13416.1
The remainder is 19 after subtracting 31 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
When dividing 190 by 31, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 13416.16
The remainder is 4 after subtracting 186 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
31 goes into 40 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 13416.161
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
When dividing 90 by 31, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 13416.1612
The remainder is 28 after subtracting 62 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 11:
When dividing 280 by 31, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 13416.16129
Subtracting 279 from 280 leaves us 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 12:
31 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 13416.16129
Subtracting 0 from 10 leaves us 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 13:
When dividing 100 by 31, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 13416.1612903
Subtracting 93 from 100 leaves us 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.

Moving on to step 14:
The number 31 fits into 70 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 13416.16129032
Subtracting 62 from 70 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 13416.16129032 with a remainder of 8e-09.