Let's divide 416604 by 31
Our goal is to divide 416604 by 31.

Going ahead to step 1:
If we divide 4 by 31, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 31

Let's proceed to step 2:
31 can be fit into 41 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 31 from 41 and we're left with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 31

Let's proceed to step 3:
When dividing 106 by 31, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 93 from 106 to get 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 31

Going ahead to step 4:
The number 31 fits into 136 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 134.0
The remainder is 12 after subtracting 124 from 136.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 31

Moving on to step 5:
31 can be fit into 120 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 1343.0
The remainder is 27 after subtracting 93 from 120.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 31

Step 6:
31 goes into 274 8 times with a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 13438.0
If we take 248 away from 274, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
The number 31 fits into 260 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 13438.8
Subtract 248 from 260 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
31 goes into 120 3 times with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 13438.83
The remainder is 27 after subtracting 93 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 9:
270 divided by 31 is 8 with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 13438.838
If we take 248 away from 270, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
31 goes into 220 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 13438.8387
Subtracting 217 from 220 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
30 divided by 31 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 13438.8387
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
300 divided by 31 is 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 13438.838709
If we subtract 279 from 300, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 13:
210 divided by 31 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 13438.8387096
Subtracting 186 from 210 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 14:
31 goes into 240 7 times with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 13438.83870967
If we subtract 217 from 240, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The quotient of the division is 13438.83870967, and the remainder is 2.3e-08.