We're dividing 41607 by 31 
We're looking to find how many times 31 goes into 41607.

Going ahead to 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
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 31

Let's proceed to step 2:
31 can be fit into 41 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 31 from 41 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 31

Moving on to step 3:
The number 31 fits into 106 3 times, leaving a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 93 away from 106, we end up with 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 31

Let's proceed to step 4:
The number 31 fits into 130 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 134.0
Deduct 124 from 130 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 31

Moving on to step 5:
67 divided by 31 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 1342.0
The remainder is 5 after subtracting 62 from 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 6:
31 can be fit into 50 1 times, resulting in a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1342.1
If we take 31 away from 50, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
The number 31 fits into 190 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 1342.16
If we take 186 away from 190, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
31 can be fit into 40 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1342.161
Deduct 31 from 40 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
31 can be fit into 90 2 times, resulting in a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 1342.1612
Subtracting 62 from 90 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 10:
31 goes into 280 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 1342.16129
If we take 279 away from 280, 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.

Moving on to step 11:
If we divide 10 by 31, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 1342.16129
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.

Advancing to step 12:
If we divide 100 by 31, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1342.1612903
If we subtract 93 from 100, we get 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 13:
If we divide 70 by 31, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1342.16129032
The remainder is 8 after subtracting 62 from 70.
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 1342.16129032 with a remainder of 8e-09.