Let's divide 45576 by 38
We want to figure out the number of times 45576 can be divided by 38.

Advancing to step 1:
If we divide 4 by 38, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 38

On to step 2:
The number 38 fits into 45 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 38 from 45, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 38

Advancing to step 3:
75 divided by 38 is 1 with a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 38 from 75 and we're left with 37.
Include the next digit (7) from the dividend after 37, then repeat: 377 / 38

Advancing to step 4:
38 can be fit into 377 9 times, resulting in a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 119.0
Deduct 342 from 377 and we're left with 35.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 38

Let's proceed to step 5:
38 goes into 356 9 times with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 1199.0
The remainder is 14 after subtracting 342 from 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 6:
140 divided by 38 is 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 1199.3
Subtracting 114 from 140 leaves us 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.

On to step 7:
The number 38 fits into 260 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 1199.36
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.

Let's proceed to step 8:
If we divide 320 by 38, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 1199.368
Deduct 304 from 320 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
When dividing 160 by 38, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 1199.3684
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
80 divided by 38 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 1199.36842
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.

Let's proceed to step 11:
40 divided by 38 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1199.368421
If we subtract 38 from 40, we 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.

Step 12:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1199.368421
If we take 0 away from 20, 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.

Going ahead to step 13:
The number 38 fits into 200 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 1199.36842105
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.

After the division, we end up with 1199.36842105 and a remainder of 1e-08.