Let's divide 14543 by 38
We want to figure out the number of times 14543 can be divided by 38.

Moving on to step 1:
38 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 38

Advancing to step 2:
If we divide 14 by 38, we get 0 and a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 38

Going ahead to step 3:
145 divided by 38 is 3 with a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 114 from 145 to get 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 38

Moving on to step 4:
38 can be fit into 314 8 times, resulting in a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
If we subtract 304 from 314, we get 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 38

Advancing to step 5:
When dividing 103 by 38, we get 2 with a remainder of 27.
Use 2 as the next digit of our solution. 
Result so far: 382.0
If we subtract 76 from 103, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 6:
When dividing 270 by 38, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 382.7
The remainder is 4 after subtracting 266 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
If we divide 40 by 38, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 382.71
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 8:
If we divide 20 by 38, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 382.71
Deduct 0 from 20 and we're left 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.

Let's proceed to step 9:
When dividing 200 by 38, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 382.7105
Deduct 190 from 200 and we're left 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.

Let's proceed to step 10:
If we divide 100 by 38, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 382.71052
Subtracting 76 from 100 leaves us 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.

On to step 11:
240 divided by 38 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 382.710526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
120 divided by 38 is 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 382.7105263
Deduct 114 from 120 and we're left 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.

On to step 13:
If we divide 60 by 38, we get 1 and a remainder of 22.
The next digit of our result is 1. 
Result so far: 382.71052631
Subtract 38 from 60 to 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.

The final result is 382.71052631 with a remainder of 2.2e-08.