419105 ÷ 27 
We're looking to find how many times 27 goes into 419105.

Moving on to step 1:
4 divided by 27 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 27

Step 2:
When dividing 41 by 27, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 27 from 41 to get 14.
Append the next digit (9) from the dividend to 14 and continue with: 149 / 27

Advancing to step 3:
149 divided by 27 is 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Deduct 135 from 149 and we're left with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 27

Going ahead to step 4:
141 divided by 27 is 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
If we take 135 away from 141, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 27

Step 5:
27 goes into 60 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 1552.0
If we subtract 54 from 60, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 27

On to step 6:
27 can be fit into 65 2 times, resulting in a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 15522.0
Deduct 54 from 65 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
If we divide 110 by 27, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 15522.4
If we take 108 away from 110, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
27 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 15522.4
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
The number 27 fits into 200 7 times, leaving a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 15522.407
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 10:
The number 27 fits into 110 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 15522.4074
Subtracting 108 from 110 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
The number 27 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 15522.4074
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
When dividing 200 by 27, we get 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 15522.407407
If we take 189 away from 200, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 13:
110 divided by 27 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 15522.4074074
If we take 108 away from 110, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
When dividing 20 by 27, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 15522.4074074
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 15522.4074074 with a remainder of 2e-08.