We're dividing 54200 by 75 
We want to figure out the number of times 54200 can be divided by 75.

Advancing to step 1:
75 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 75

On to step 2:
The number 75 fits into 54 0 times, leaving a remainder of 54.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 54, we end up with 54.
Bring next digit (2) of the dividend behind the 54 and repeat the process: 542 / 75

Moving on to step 3:
75 can be fit into 542 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 525 from 542 leaves us with 17.
Bring next digit (0) of the dividend behind the 17 and repeat the process: 170 / 75

Advancing to step 4:
170 divided by 75 is 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 72.0
The remainder is 20 after subtracting 150 from 170.
Bring next digit (0) of the dividend behind the 20 and repeat the process: 200 / 75

Moving on to step 5:
75 can be fit into 200 2 times, resulting in a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 722.0
Deduct 150 from 200 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 6:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 722.6
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 7:
500 divided by 75 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 722.66
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 722.66, and the remainder is 0.05.