We divide 413107 by 27
We want to figure out the number of times 413107 can be divided by 27.

Advancing to step 1:
The number 27 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
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 / 27

Step 2:
41 divided by 27 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 27 from 41 to get 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 27

On to step 3:
When dividing 143 by 27, we get 5 with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 8 after subtracting 135 from 143.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 27

Moving on to step 4:
If we divide 81 by 27, we get 3 and a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 153.0
If we take 81 away from 81, we end up with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 27

Moving on to step 5:
If we divide 0 by 27, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1530.0
The remainder is 0 after subtracting 0 from 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 27

Let's proceed to step 6:
When dividing 7 by 27, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 15300.0
Deduct 0 from 7 and we're left 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 7:
27 can be fit into 70 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 15300.2
The remainder is 16 after subtracting 54 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 27 fits into 160 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 15300.25
Subtract 135 from 160 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
250 divided by 27 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 15300.259
If we take 243 away from 250, 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.

On to step 10:
When dividing 70 by 27, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 15300.2592
Subtracting 54 from 70 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
160 divided by 27 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15300.25925
Deduct 135 from 160 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
The number 27 fits into 250 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 15300.259259
Deduct 243 from 250 and we're left 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.

Step 13:
When dividing 70 by 27, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 15300.2592592
Subtracting 54 from 70 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
27 can be fit into 160 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15300.25925925
If we take 135 away from 160, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 15300.25925925, and the remainder is 2.5e-08.