257725 ÷ 27 
We want to figure out the number of times 257725 can be divided by 27.

On to step 1:
2 divided by 27 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 27

Advancing to step 2:
The number 27 fits into 25 0 times, leaving a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 27

On to step 3:
When dividing 257 by 27, we get 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 243 from 257, we get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 27

Advancing to step 4:
If we divide 147 by 27, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 95.0
If we subtract 135 from 147, we get 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 27

Step 5:
122 divided by 27 is 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 954.0
The remainder is 14 after subtracting 108 from 122.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 27

Let's proceed to step 6:
145 divided by 27 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 9545.0
The remainder is 10 after subtracting 135 from 145.
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 7:
If we divide 100 by 27, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 9545.3
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.

Going ahead to step 8:
When dividing 190 by 27, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 9545.37
If we subtract 189 from 190, we 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.

Advancing to step 9:
27 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9545.37
Deduct 0 from 10 and we're left 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.

Advancing to step 10:
When dividing 100 by 27, we get 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 9545.3703
Subtract 81 from 100 to 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 11:
27 goes into 190 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 9545.37037
If we subtract 189 from 190, we 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.

Let's proceed to step 12:
The number 27 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9545.37037
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
100 divided by 27 is 3 with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 9545.3703703
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.

Advancing to step 14:
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: 9545.37037037
If we subtract 189 from 190, we 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.

The quotient of the division is 9545.37037037, and the remainder is 1e-09.