28597 ÷ 27 
We're looking to find how many times 27 goes into 28597.

Step 1:
The number 27 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 27

Moving on to step 2:
The number 27 fits into 28 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 27 from 28 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 27

Moving on to step 3:
If we divide 15 by 27, we get 0 and a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 15, we get 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 27

Let's proceed to step 4:
159 divided by 27 is 5 with a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 105.0
If we take 135 away from 159, we end up with 24.
Append the next digit (7) from the dividend to 24 and continue with: 247 / 27

Moving on to step 5:
The number 27 fits into 247 9 times, leaving a remainder of 4.
The next digit of our result is 9. 
Result so far: 1059.0
Deduct 243 from 247 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 6:
If we divide 40 by 27, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1059.1
Subtracting 27 from 40 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
The number 27 fits into 130 4 times, leaving a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 1059.14
If we subtract 108 from 130, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
If we divide 220 by 27, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 1059.148
If we subtract 216 from 220, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
40 divided by 27 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1059.1481
The remainder is 13 after subtracting 27 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
If we divide 130 by 27, we get 4 and a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 1059.14814
Subtracting 108 from 130 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 11:
If we divide 220 by 27, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1059.148148
If we subtract 216 from 220, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
The number 27 fits into 40 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1059.1481481
Subtracting 27 from 40 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
27 goes into 130 4 times with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 1059.14814814
Subtract 108 from 130 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 1059.14814814 with a remaining 2.2e-08.