38538922 divided by 914 
We want to figure out the number of times 38538922 can be divided by 914.

On to step 1:
When dividing 3 by 914, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 914

Going ahead to step 2:
If we divide 38 by 914, we get 0 and a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 914

On to step 3:
The number 914 fits into 385 0 times, leaving a remainder of 385.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 385 leaves us with 385.
Include the next digit (3) from the dividend after 385, then repeat: 3853 / 914

Let's proceed to step 4:
When dividing 3853 by 914, we get 4 with a remainder of 197.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 197 after subtracting 3656 from 3853.
Include the next digit (8) from the dividend after 197, then repeat: 1978 / 914

Advancing to step 5:
When dividing 1978 by 914, we get 2 with a remainder of 150.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 1828 from 1978 and we're left with 150.
Take the next digit (9) from the dividend and append it to 150, then repeat: 1509 / 914

Step 6:
914 goes into 1509 1 times with a remainder of 595.
The number 1 becomes the next digit in our result. 
Result so far: 421.0
Subtracting 914 from 1509 leaves us with 595.
Append the next digit (2) from the dividend to 595 and continue with: 5952 / 914

Let's proceed to step 7:
If we divide 5952 by 914, we get 6 and a remainder of 468.
Record the quotient 6 as the next digit in the result. 
Result so far: 4216.0
The remainder is 468 after subtracting 5484 from 5952.
Take the next digit (2) from the dividend and append it to 468, then repeat: 4682 / 914

Advancing to step 8:
When dividing 4682 by 914, we get 5 with a remainder of 112.
The number 5 becomes the next digit in our result. 
Result so far: 42165.0
Subtract 4570 from 4682 to get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Let's proceed to step 9:
914 can be fit into 1120 1 times, resulting in a remainder of 206.
Record the quotient 1 as the next digit in the result. 
Result so far: 42165.1
Subtracting 914 from 1120 leaves us with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Step 10:
When dividing 2060 by 914, we get 2 with a remainder of 232.
The next digit of our result is 2. 
Result so far: 42165.12
Subtract 1828 from 2060 to get 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

On to step 11:
914 can be fit into 2320 2 times, resulting in a remainder of 492.
The number 2 becomes the next digit in our result. 
Result so far: 42165.122
The remainder is 492 after subtracting 1828 from 2320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

In conclusion, the division gives 42165.122 with a balance of 0.0492.