542253 ÷ 3 
The aim is to understand the frequency of 3 in 542253.

Advancing to step 1:
When dividing 5 by 3, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 3

Going ahead to step 2:
When dividing 24 by 3, we get 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 24 from 24 and we're left with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 3

Step 3:
The number 3 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 180.0
If we subtract 0 from 2, we get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

Moving on to step 4:
3 goes into 22 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1807.0
The remainder is 1 after subtracting 21 from 22.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 3

Step 5:
3 goes into 15 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 18075.0
Subtracting 15 from 15 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 3

Step 6:
If we divide 3 by 3, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 180751.0
If we take 3 away from 3, we end up 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 7:
If we divide 0 by 3, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 180751.0
Subtracting 0 from 0 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.

Advancing to step 8:
When dividing 0 by 3, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 180751.0
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 180751.0, and the remainder is 0.0.