Let's divide 42221 by 27
We want to figure out the number of times 42221 can be divided by 27.

On to step 1:
When dividing 4 by 27, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 27

Step 2:
27 goes into 42 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 27 from 42 to get 15.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 27

Step 3:
27 can be fit into 152 5 times, resulting in a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 135 from 152, we get 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 27

Let's proceed to step 4:
172 divided by 27 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 156.0
If we take 162 away from 172, we end up with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 27

On to step 5:
The number 27 fits into 101 3 times, leaving a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 1563.0
Subtracting 81 from 101 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 6:
If we divide 200 by 27, we get 7 and a remainder of 11.
The next digit of our result is 7. 
Result so far: 1563.7
Deduct 189 from 200 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.

Let's proceed 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: 1563.74
The remainder is 2 after subtracting 108 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 27 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 1563.74
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.

Let's proceed to step 9:
27 goes into 200 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 1563.7407
If we subtract 189 from 200, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
The number 27 fits into 110 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 1563.74074
Deduct 108 from 110 and we're left 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.

Moving on to step 11:
27 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 1563.74074
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
27 goes into 200 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 1563.7407407
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
When dividing 110 by 27, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 1563.74074074
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.

Our division results in 1563.74074074 with a remaining 2e-09.