We divide 542543 by 4
Our goal is to divide 542543 by 4.

Let's proceed to step 1:
4 can be fit into 5 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 4 from 5, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 4

Moving on to step 2:
14 divided by 4 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 2 after subtracting 12 from 14.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 4

Advancing to step 3:
The number 4 fits into 22 5 times, leaving a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
If we subtract 20 from 22, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 4

Step 4:
When dividing 25 by 4, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 1356.0
Deduct 24 from 25 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 4

Let's proceed to step 5:
14 divided by 4 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 13563.0
Deduct 12 from 14 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 4

Moving on to step 6:
4 can be fit into 23 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 135635.0
Subtract 20 from 23 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
The number 4 fits into 30 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 135635.7
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 4, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 135635.75
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 4, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 135635.75
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
0 divided by 4 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 135635.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 135635.75, and the remainder is 0.0.