We look at the division of 54306 by 38 
Our goal is to divide 54306 by 38.

Advancing to step 1:
If we divide 5 by 38, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 38

On to step 2:
38 can be fit into 54 1 times, resulting in a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 38 from 54 and we're left with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 38

Advancing to step 3:
38 goes into 163 4 times with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 11 after subtracting 152 from 163.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 38

Moving on to step 4:
38 can be fit into 110 2 times, resulting in a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 142.0
Subtracting 76 from 110 leaves us with 34.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 38

Moving on to step 5:
38 goes into 346 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 1429.0
Deduct 342 from 346 and we're left 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 6:
38 goes into 40 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1429.1
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.

Going ahead to step 7:
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: 1429.1
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 1429.105
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 38 fits into 100 2 times, leaving a remainder of 24.
The next digit of our result is 2. 
Result so far: 1429.1052
Deduct 76 from 100 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
38 can be fit into 240 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 1429.10526
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
When dividing 120 by 38, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 1429.105263
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1429.1052631
Subtracting 38 from 60 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 13:
38 goes into 220 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1429.10526315
Subtracting 190 from 220 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 1429.10526315 with a balance of 3e-08.