138575 divided by 76 
We're looking to find how many times 76 goes into 138575.

Step 1:
1 divided by 76 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 76

Step 2:
If we divide 13 by 76, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 76

Advancing to step 3:
138 divided by 76 is 1 with a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 76 from 138 leaves us with 62.
Bring next digit (5) of the dividend behind the 62 and repeat the process: 625 / 76

Step 4:
When dividing 625 by 76, we get 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we subtract 608 from 625, we get 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 76

On to step 5:
When dividing 177 by 76, we get 2 with a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 182.0
Subtract 152 from 177 to get 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 76

Let's proceed to step 6:
If we divide 255 by 76, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 1823.0
Subtract 228 from 255 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
The number 76 fits into 270 3 times, leaving a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 1823.3
If we subtract 228 from 270, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
If we divide 420 by 76, we get 5 and a remainder of 40.
The next digit of our result is 5. 
Result so far: 1823.35
If we take 380 away from 420, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
When dividing 400 by 76, we get 5 with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 1823.355
If we take 380 away from 400, we end up 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.

Our division results in 1823.355 with a remaining 0.002.