546123 divided by 38 
We're looking to find how many times 38 goes into 546123.

Let's proceed to step 1:
38 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 38

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
The remainder is 16 after subtracting 38 from 54.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 38

Step 3:
38 goes into 166 4 times with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 152 from 166 to get 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 38

Step 4:
141 divided by 38 is 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 143.0
Subtract 114 from 141 to get 27.
Fetch the next digit (2) from the dividend, attach it to 27 and continue: 272 / 38

Going ahead to step 5:
If we divide 272 by 38, we get 7 and a remainder of 6.
The next digit of our result is 7. 
Result so far: 1437.0
Deduct 266 from 272 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 38

Advancing to step 6:
38 goes into 63 1 times with a remainder of 25.
The next digit of our result is 1. 
Result so far: 14371.0
If we take 38 away from 63, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
38 goes into 250 6 times with a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 14371.6
If we subtract 228 from 250, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 14371.65
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
The number 38 fits into 300 7 times, leaving a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 14371.657
If we subtract 266 from 300, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
340 divided by 38 is 8 with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 14371.6578
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
360 divided by 38 is 9 with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 14371.65789
If we subtract 342 from 360, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
When dividing 180 by 38, we get 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 14371.657894
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
38 goes into 280 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 14371.6578947
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
38 goes into 140 3 times with a remainder of 26.
The next digit of our result is 3. 
Result so far: 14371.65789473
Subtract 114 from 140 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 14371.65789473 with a balance of 2.6e-08.