45161 ÷ 38 
We want to divide 45161 by 38.

Going ahead to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 38

On to step 2:
38 goes into 45 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 38 from 45 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 38

Step 3:
71 divided by 38 is 1 with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 38 from 71 leaves us with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 38

Let's proceed to step 4:
336 divided by 38 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 118.0
If we take 304 away from 336, we end up with 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 38

Going ahead to step 5:
38 goes into 321 8 times with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 1188.0
If we subtract 304 from 321, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 6:
38 goes into 170 4 times with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 1188.4
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
38 can be fit into 180 4 times, resulting in a remainder of 28.
The next digit of our result is 4. 
Result so far: 1188.44
Deduct 152 from 180 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 1188.44 with a balance of 0.028.