We're dividing 66429 by 54 
We're looking to find how many times 54 goes into 66429.

Moving on to step 1:
6 divided by 54 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 54

Advancing to step 2:
If we divide 66 by 54, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 54 away from 66, we end up with 12.
Include the next digit (4) from the dividend after 12, then repeat: 124 / 54

Step 3:
54 can be fit into 124 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 108 from 124, we get 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 54

Step 4:
54 can be fit into 162 3 times, resulting in a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 123.0
If we take 162 away from 162, we end up with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 54

Let's proceed to step 5:
54 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 1230.0
If we subtract 0 from 9, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 6:
54 can be fit into 90 1 times, resulting in a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1230.1
If we take 54 away from 90, we end up 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 7:
360 divided by 54 is 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 1230.16
If we subtract 324 from 360, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
360 divided by 54 is 6 with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 1230.166
Deduct 324 from 360 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.

The final result is 1230.166 with a remainder of 0.0036.