We look at the division of 875655 by 38 
We want to figure out the number of times 875655 can be divided by 38.

Going ahead to step 1:
38 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 38

On to step 2:
If we divide 87 by 38, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 76 from 87 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 38

Moving on to step 3:
If we divide 115 by 38, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Subtracting 114 from 115 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 38

Advancing to step 4:
If we divide 16 by 38, we get 0 and a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 230.0
Subtract 0 from 16 to get 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 38

Advancing to step 5:
If we divide 165 by 38, we get 4 and a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 2304.0
Deduct 152 from 165 and we're left with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 38

Step 6:
The number 38 fits into 135 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 23043.0
Subtracting 114 from 135 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
When dividing 210 by 38, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 23043.5
Subtracting 190 from 210 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.

Moving on to step 8:
If we divide 200 by 38, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 23043.55
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.

Our division results in 23043.55 with a remaining 0.01.