57338 ÷ 27 
Our goal is to divide 57338 by 27.

Step 1:
27 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 27

Moving on to step 2:
27 goes into 57 2 times with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 3 after subtracting 54 from 57.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 27

On to step 3:
When dividing 33 by 27, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 21.0
Subtracting 27 from 33 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 27

Advancing to step 4:
63 divided by 27 is 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 212.0
Subtracting 54 from 63 leaves us with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 27

Step 5:
When dividing 98 by 27, we get 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 2123.0
If we take 81 away from 98, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 6:
The number 27 fits into 170 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 2123.6
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 27, we get 2 and a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 2123.62
If we subtract 54 from 80, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
The number 27 fits into 260 9 times, leaving a remainder of 17.
The next digit of our result is 9. 
Result so far: 2123.629
Subtract 243 from 260 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
If we divide 170 by 27, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 2123.6296
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
27 can be fit into 80 2 times, resulting in a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 2123.62962
Deduct 54 from 80 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
If we divide 260 by 27, we get 9 and a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 2123.629629
Subtract 243 from 260 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 12:
The number 27 fits into 170 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 2123.6296296
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
When dividing 80 by 27, we get 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 2123.62962962
Deduct 54 from 80 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 2123.62962962 and a remainder of 2.6e-08.