Let's divide 218566 by 38
We want to figure out the number of times 218566 can be divided by 38.

On to step 1:
38 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 38

Advancing to step 2:
The number 38 fits into 21 0 times, leaving a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 38

On to step 3:
218 divided by 38 is 5 with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 190 from 218 leaves us with 28.
Append the next digit (5) from the dividend to 28 and continue with: 285 / 38

Going ahead to step 4:
38 goes into 285 7 times with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 57.0
If we take 266 away from 285, we end up with 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 38

Moving on to step 5:
196 divided by 38 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 575.0
If we subtract 190 from 196, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 38

Step 6:
The number 38 fits into 66 1 times, leaving a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 5751.0
If we subtract 38 from 66, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
If we divide 280 by 38, we get 7 and a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 5751.7
Subtracting 266 from 280 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
If we divide 140 by 38, we get 3 and a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 5751.73
If we subtract 114 from 140, 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.

Let's proceed to step 9:
If we divide 260 by 38, we get 6 and a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 5751.736
Deduct 228 from 260 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
38 can be fit into 320 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 5751.7368
Subtract 304 from 320 to 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.

On to step 11:
38 goes into 160 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 5751.73684
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
The number 38 fits into 80 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 5751.736842
The remainder is 4 after subtracting 76 from 80.
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 13:
38 can be fit into 40 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 5751.7368421
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.

Let's proceed to step 14:
When dividing 20 by 38, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5751.7368421
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 5751.7368421 with a remainder of 2e-08.