420121 ÷ 27 
We want to figure out the number of times 420121 can be divided by 27.

Going ahead to step 1:
27 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 27

Let's proceed to step 2:
27 goes into 42 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 27 from 42 to get 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 27

Step 3:
150 divided by 27 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 135 from 150 leaves us with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 27

Moving on to step 4:
27 goes into 151 5 times with a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
Deduct 135 from 151 and we're left with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 27

On to step 5:
When dividing 162 by 27, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 1556.0
If we subtract 162 from 162, we get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 27

On to step 6:
27 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 15560.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 27 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15560.0
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.

On to step 8:
27 goes into 100 3 times with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 15560.03
If we subtract 81 from 100, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
When dividing 190 by 27, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 15560.037
The remainder is 1 after subtracting 189 from 190.
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 10:
The number 27 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 15560.037
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.

Step 11:
The number 27 fits into 100 3 times, leaving a remainder of 19.
The next digit of our result is 3. 
Result so far: 15560.03703
Deduct 81 from 100 and we're left 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.

On to step 12:
27 can be fit into 190 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 15560.037037
Subtracting 189 from 190 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.

Let's proceed to step 13:
If we divide 10 by 27, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15560.037037
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
27 can be fit into 100 3 times, resulting in a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 15560.03703703
Subtracting 81 from 100 leaves us 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.

The final outcome is 15560.03703703, with a leftover of 1.9e-08.