We're dividing 597666 by 38 
We want to divide 597666 by 38.

Advancing to step 1:
38 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 38

Step 2:
59 divided by 38 is 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 38 from 59 to get 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 38

Step 3:
38 can be fit into 217 5 times, resulting in a remainder of 27.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Deduct 190 from 217 and we're left with 27.
Bring next digit (6) of the dividend behind the 27 and repeat the process: 276 / 38

Step 4:
38 goes into 276 7 times with a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 157.0
Subtract 266 from 276 to get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 38

Going ahead to step 5:
When dividing 106 by 38, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 1572.0
If we subtract 76 from 106, we get 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 38

Step 6:
306 divided by 38 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 15728.0
Deduct 304 from 306 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 7:
When dividing 20 by 38, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 15728.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
When dividing 200 by 38, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 15728.05
Deduct 190 from 200 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.

Let's proceed to step 9:
When dividing 100 by 38, we get 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 15728.052
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
The number 38 fits into 240 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 15728.0526
Deduct 228 from 240 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
When dividing 120 by 38, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 15728.05263
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 15728.052631
Subtracting 38 from 60 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 13:
If we divide 220 by 38, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 15728.0526315
Subtracting 190 from 220 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
38 can be fit into 300 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 15728.05263157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 15728.05263157, and the remainder is 3.4e-08.