We're dividing 559766 by 38 
We're looking to find how many times 38 goes into 559766.

Step 1:
5 divided by 38 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 38

On to step 2:
38 can be fit into 55 1 times, resulting in a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 38 from 55, we get 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 38

Moving on to step 3:
When dividing 179 by 38, we get 4 with a remainder of 27.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we take 152 away from 179, we end up with 27.
Bring next digit (7) of the dividend behind the 27 and repeat the process: 277 / 38

Advancing to step 4:
The number 38 fits into 277 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 147.0
If we take 266 away from 277, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 38

Moving on to step 5:
When dividing 116 by 38, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 1473.0
If we subtract 114 from 116, we get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 38

Let's proceed to step 6:
The number 38 fits into 26 0 times, leaving a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 14730.0
If we take 0 away from 26, we end up 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.

Moving on to step 7:
If we divide 260 by 38, we get 6 and a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 14730.6
The remainder is 32 after subtracting 228 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
320 divided by 38 is 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 14730.68
If we subtract 304 from 320, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 14730.684
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
If we divide 80 by 38, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 14730.6842
Subtracting 76 from 80 leaves us 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.

Moving on to step 11:
40 divided by 38 is 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 14730.68421
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
When dividing 20 by 38, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 14730.68421
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 14730.6842105
Subtracting 190 from 200 leaves us 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.

Moving on to step 14:
When dividing 100 by 38, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 14730.68421052
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.

The quotient of the division is 14730.68421052, and the remainder is 2.4e-08.