We're dividing 281741 by 27 
We want to figure out the number of times 281741 can be divided by 27.

Advancing to step 1:
The number 27 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 27

On to step 2:
When dividing 28 by 27, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we take 27 away from 28, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 27

On to step 3:
27 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 11, we get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 27

Advancing to step 4:
117 divided by 27 is 4 with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 104.0
If we subtract 108 from 117, we get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 27

On to step 5:
The number 27 fits into 94 3 times, leaving a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 1043.0
If we take 81 away from 94, we end up with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 27

Let's proceed to step 6:
If we divide 131 by 27, we get 4 and a remainder of 23.
The number 4 becomes the next digit in our result. 
Result so far: 10434.0
If we subtract 108 from 131, 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.

Step 7:
If we divide 230 by 27, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 10434.8
The remainder is 14 after subtracting 216 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
If we divide 140 by 27, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 10434.85
Subtract 135 from 140 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
27 goes into 50 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 10434.851
Deduct 27 from 50 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 10:
If we divide 230 by 27, we get 8 and a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 10434.8518
The remainder is 14 after subtracting 216 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
27 goes into 140 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 10434.85185
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
50 divided by 27 is 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 10434.851851
Subtract 27 from 50 to 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.

Going ahead to step 13:
27 can be fit into 230 8 times, resulting in a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 10434.8518518
If we take 216 away from 230, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 14:
The number 27 fits into 140 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 10434.85185185
Subtracting 135 from 140 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 10434.85185185 and a remainder of 5e-09.